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Finding the Fourth Proportional to 8,641.76, 11,929.24 and 5,848.88

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Solution

The fourth proportional to 8,641.76, 11,929.24 and 5,848.88 is: 8,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.76 : 11,929.24 = 5,848.88 : x
  2. Step 2: Convert to fraction form
    8,641.76/11,929.24 = 5,848.88/x
  3. Step 3: Cross multiply
    8,641.76x = 11,929.24 × 5,848.88
  4. Step 4: Simplify right side
    8,641.76x = 69,772,693.25
  5. Step 5: Solve for x
    x = 69,772,693.25/8,641.76
  6. Step 6: Final answer
    x = 8,073.90

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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.