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Finding the Fourth Proportional to 10,321.00, 15,470.89 and 4,078.46

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Solution

The fourth proportional to 10,321.00, 15,470.89 and 4,078.46 is: 6,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.00 : 15,470.89 = 4,078.46 : x
  2. Step 2: Convert to fraction form
    10,321.00/15,470.89 = 4,078.46/x
  3. Step 3: Cross multiply
    10,321.00x = 15,470.89 × 4,078.46
  4. Step 4: Simplify right side
    10,321.00x = 63,097,434.51
  5. Step 5: Solve for x
    x = 63,097,434.51/10,321.00
  6. Step 6: Final answer
    x = 6,113.50

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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.