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Finding the Fourth Proportional to 11,382.99, 15,715.07 and 7,612.57

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Solution

The fourth proportional to 11,382.99, 15,715.07 and 7,612.57 is: 10,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.99 : 15,715.07 = 7,612.57 : x
  2. Step 2: Convert to fraction form
    11,382.99/15,715.07 = 7,612.57/x
  3. Step 3: Cross multiply
    11,382.99x = 15,715.07 × 7,612.57
  4. Step 4: Simplify right side
    11,382.99x = 119,632,070.43
  5. Step 5: Solve for x
    x = 119,632,070.43/11,382.99
  6. Step 6: Final answer
    x = 10,509.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.