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Finding the Fourth Proportional to 10,613.64, 14,646.18 and 5,897.76

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Solution

The fourth proportional to 10,613.64, 14,646.18 and 5,897.76 is: 8,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.64 : 14,646.18 = 5,897.76 : x
  2. Step 2: Convert to fraction form
    10,613.64/14,646.18 = 5,897.76/x
  3. Step 3: Cross multiply
    10,613.64x = 14,646.18 × 5,897.76
  4. Step 4: Simplify right side
    10,613.64x = 86,379,654.56
  5. Step 5: Solve for x
    x = 86,379,654.56/10,613.64
  6. Step 6: Final answer
    x = 8,138.55

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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.