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Finding the Fourth Proportional to 11,504.32, 15,875.78 and 6,468.55

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Solution

The fourth proportional to 11,504.32, 15,875.78 and 6,468.55 is: 8,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.32 : 15,875.78 = 6,468.55 : x
  2. Step 2: Convert to fraction form
    11,504.32/15,875.78 = 6,468.55/x
  3. Step 3: Cross multiply
    11,504.32x = 15,875.78 × 6,468.55
  4. Step 4: Simplify right side
    11,504.32x = 102,693,197.34
  5. Step 5: Solve for x
    x = 102,693,197.34/11,504.32
  6. Step 6: Final answer
    x = 8,926.49

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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.