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Finding the Fourth Proportional to 10,525.65, 15,711.42 and 9,280.13

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Solution

The fourth proportional to 10,525.65, 15,711.42 and 9,280.13 is: 13,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.65 : 15,711.42 = 9,280.13 : x
  2. Step 2: Convert to fraction form
    10,525.65/15,711.42 = 9,280.13/x
  3. Step 3: Cross multiply
    10,525.65x = 15,711.42 × 9,280.13
  4. Step 4: Simplify right side
    10,525.65x = 145,803,941.53
  5. Step 5: Solve for x
    x = 145,803,941.53/10,525.65
  6. Step 6: Final answer
    x = 13,852.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.