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Finding the Fourth Proportional to 10,172.25, 15,264.14 and 4,700.25

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Solution

The fourth proportional to 10,172.25, 15,264.14 and 4,700.25 is: 7,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.25 : 15,264.14 = 4,700.25 : x
  2. Step 2: Convert to fraction form
    10,172.25/15,264.14 = 4,700.25/x
  3. Step 3: Cross multiply
    10,172.25x = 15,264.14 × 4,700.25
  4. Step 4: Simplify right side
    10,172.25x = 71,745,250.53
  5. Step 5: Solve for x
    x = 71,745,250.53/10,172.25
  6. Step 6: Final answer
    x = 7,053.04

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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.