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Finding the Fourth Proportional to 8,597.69, 11,787.54 and 8,442.17

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Solution

The fourth proportional to 8,597.69, 11,787.54 and 8,442.17 is: 11,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.69 : 11,787.54 = 8,442.17 : x
  2. Step 2: Convert to fraction form
    8,597.69/11,787.54 = 8,442.17/x
  3. Step 3: Cross multiply
    8,597.69x = 11,787.54 × 8,442.17
  4. Step 4: Simplify right side
    8,597.69x = 99,512,416.56
  5. Step 5: Solve for x
    x = 99,512,416.56/8,597.69
  6. Step 6: Final answer
    x = 11,574.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.