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Finding the Fourth Proportional to 10,613.54, 14,645.12 and 5,897.84

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Solution

The fourth proportional to 10,613.54, 14,645.12 and 5,897.84 is: 8,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.54 : 14,645.12 = 5,897.84 : x
  2. Step 2: Convert to fraction form
    10,613.54/14,645.12 = 5,897.84/x
  3. Step 3: Cross multiply
    10,613.54x = 14,645.12 × 5,897.84
  4. Step 4: Simplify right side
    10,613.54x = 86,374,471.83
  5. Step 5: Solve for x
    x = 86,374,471.83/10,613.54
  6. Step 6: Final answer
    x = 8,138.14

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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.