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Finding the Fourth Proportional to 11,381.18, 15,706.17 and 6,602.23

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Solution

The fourth proportional to 11,381.18, 15,706.17 and 6,602.23 is: 9,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.18 : 15,706.17 = 6,602.23 : x
  2. Step 2: Convert to fraction form
    11,381.18/15,706.17 = 6,602.23/x
  3. Step 3: Cross multiply
    11,381.18x = 15,706.17 × 6,602.23
  4. Step 4: Simplify right side
    11,381.18x = 103,695,713.75
  5. Step 5: Solve for x
    x = 103,695,713.75/11,381.18
  6. Step 6: Final answer
    x = 9,111.16

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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.