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Finding the Fourth Proportional to 11,848.32, 17,773.92 and 5,688

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Solution

The fourth proportional to 11,848.32, 17,773.92 and 5,688 is: 8,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.32 : 17,773.92 = 5,688 : x
  2. Step 2: Convert to fraction form
    11,848.32/17,773.92 = 5,688/x
  3. Step 3: Cross multiply
    11,848.32x = 17,773.92 × 5,688
  4. Step 4: Simplify right side
    11,848.32x = 101,098,056.96
  5. Step 5: Solve for x
    x = 101,098,056.96/11,848.32
  6. Step 6: Final answer
    x = 8,532.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.