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Finding the Fourth Proportional to 10,613.12, 14,646 and 5,897.30

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Solution

The fourth proportional to 10,613.12, 14,646 and 5,897.30 is: 8,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.12 : 14,646 = 5,897.30 : x
  2. Step 2: Convert to fraction form
    10,613.12/14,646 = 5,897.30/x
  3. Step 3: Cross multiply
    10,613.12x = 14,646 × 5,897.30
  4. Step 4: Simplify right side
    10,613.12x = 86,371,855.80
  5. Step 5: Solve for x
    x = 86,371,855.80/10,613.12
  6. Step 6: Final answer
    x = 8,138.22

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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.