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Finding the Fourth Proportional to 11,382.03, 15,706.47 and 6,602.15

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Solution

The fourth proportional to 11,382.03, 15,706.47 and 6,602.15 is: 9,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.03 : 15,706.47 = 6,602.15 : x
  2. Step 2: Convert to fraction form
    11,382.03/15,706.47 = 6,602.15/x
  3. Step 3: Cross multiply
    11,382.03x = 15,706.47 × 6,602.15
  4. Step 4: Simplify right side
    11,382.03x = 103,696,470.91
  5. Step 5: Solve for x
    x = 103,696,470.91/11,382.03
  6. Step 6: Final answer
    x = 9,110.54

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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.