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Finding the Fourth Proportional to 11,102.86, 15,322.53 and 6,387.85

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Solution

The fourth proportional to 11,102.86, 15,322.53 and 6,387.85 is: 8,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.86 : 15,322.53 = 6,387.85 : x
  2. Step 2: Convert to fraction form
    11,102.86/15,322.53 = 6,387.85/x
  3. Step 3: Cross multiply
    11,102.86x = 15,322.53 × 6,387.85
  4. Step 4: Simplify right side
    11,102.86x = 97,878,023.26
  5. Step 5: Solve for x
    x = 97,878,023.26/11,102.86
  6. Step 6: Final answer
    x = 8,815.57

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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.