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Finding the Fourth Proportional to 10,513.80, 15,772.32 and 4,970.16

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Solution

The fourth proportional to 10,513.80, 15,772.32 and 4,970.16 is: 7,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.80 : 15,772.32 = 4,970.16 : x
  2. Step 2: Convert to fraction form
    10,513.80/15,772.32 = 4,970.16/x
  3. Step 3: Cross multiply
    10,513.80x = 15,772.32 × 4,970.16
  4. Step 4: Simplify right side
    10,513.80x = 78,390,953.97
  5. Step 5: Solve for x
    x = 78,390,953.97/10,513.80
  6. Step 6: Final answer
    x = 7,456.01

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