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Finding the Fourth Proportional to 11,504.88, 15,875.84 and 6,468.16

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Solution

The fourth proportional to 11,504.88, 15,875.84 and 6,468.16 is: 8,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.88 : 15,875.84 = 6,468.16 : x
  2. Step 2: Convert to fraction form
    11,504.88/15,875.84 = 6,468.16/x
  3. Step 3: Cross multiply
    11,504.88x = 15,875.84 × 6,468.16
  4. Step 4: Simplify right side
    11,504.88x = 102,687,473.25
  5. Step 5: Solve for x
    x = 102,687,473.25/11,504.88
  6. Step 6: Final answer
    x = 8,925.56

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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.