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Finding the Fourth Proportional to 10,470.40, 15,705.08 and 10,101.28

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Solution

The fourth proportional to 10,470.40, 15,705.08 and 10,101.28 is: 15,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.40 : 15,705.08 = 10,101.28 : x
  2. Step 2: Convert to fraction form
    10,470.40/15,705.08 = 10,101.28/x
  3. Step 3: Cross multiply
    10,470.40x = 15,705.08 × 10,101.28
  4. Step 4: Simplify right side
    10,470.40x = 158,641,410.50
  5. Step 5: Solve for x
    x = 158,641,410.50/10,470.40
  6. Step 6: Final answer
    x = 15,151.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.