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Finding the Fourth Proportional to 10,865.03, 16,298.42 and 3,470.54

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Solution

The fourth proportional to 10,865.03, 16,298.42 and 3,470.54 is: 5,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.03 : 16,298.42 = 3,470.54 : x
  2. Step 2: Convert to fraction form
    10,865.03/16,298.42 = 3,470.54/x
  3. Step 3: Cross multiply
    10,865.03x = 16,298.42 × 3,470.54
  4. Step 4: Simplify right side
    10,865.03x = 56,564,219.70
  5. Step 5: Solve for x
    x = 56,564,219.70/10,865.03
  6. Step 6: Final answer
    x = 5,206.08

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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.