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Finding the Fourth Proportional to 10,280.13, 15,411.08 and 5,012.19

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Solution

The fourth proportional to 10,280.13, 15,411.08 and 5,012.19 is: 7,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.13 : 15,411.08 = 5,012.19 : x
  2. Step 2: Convert to fraction form
    10,280.13/15,411.08 = 5,012.19/x
  3. Step 3: Cross multiply
    10,280.13x = 15,411.08 × 5,012.19
  4. Step 4: Simplify right side
    10,280.13x = 77,243,236.00
  5. Step 5: Solve for x
    x = 77,243,236.00/10,280.13
  6. Step 6: Final answer
    x = 7,513.84

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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.