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Finding the Fourth Proportional to 11,569.30, 15,967.22 and 6,657.82

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Solution

The fourth proportional to 11,569.30, 15,967.22 and 6,657.82 is: 9,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.30 : 15,967.22 = 6,657.82 : x
  2. Step 2: Convert to fraction form
    11,569.30/15,967.22 = 6,657.82/x
  3. Step 3: Cross multiply
    11,569.30x = 15,967.22 × 6,657.82
  4. Step 4: Simplify right side
    11,569.30x = 106,306,857.16
  5. Step 5: Solve for x
    x = 106,306,857.16/11,569.30
  6. Step 6: Final answer
    x = 9,188.70

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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.