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Finding the Fourth Proportional to 11,337.76, 15,646.32 and 6,302.40

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Solution

The fourth proportional to 11,337.76, 15,646.32 and 6,302.40 is: 8,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.76 : 15,646.32 = 6,302.40 : x
  2. Step 2: Convert to fraction form
    11,337.76/15,646.32 = 6,302.40/x
  3. Step 3: Cross multiply
    11,337.76x = 15,646.32 × 6,302.40
  4. Step 4: Simplify right side
    11,337.76x = 98,609,367.17
  5. Step 5: Solve for x
    x = 98,609,367.17/11,337.76
  6. Step 6: Final answer
    x = 8,697.43

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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.