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Finding the Fourth Proportional to 8,446.19, 11,657.35 and 5,569.86

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Solution

The fourth proportional to 8,446.19, 11,657.35 and 5,569.86 is: 7,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.19 : 11,657.35 = 5,569.86 : x
  2. Step 2: Convert to fraction form
    8,446.19/11,657.35 = 5,569.86/x
  3. Step 3: Cross multiply
    8,446.19x = 11,657.35 × 5,569.86
  4. Step 4: Simplify right side
    8,446.19x = 64,929,807.47
  5. Step 5: Solve for x
    x = 64,929,807.47/8,446.19
  6. Step 6: Final answer
    x = 7,687.47

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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.