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Finding the Fourth Proportional to 10,613.93, 14,647.68 and 5,897.90

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Solution

The fourth proportional to 10,613.93, 14,647.68 and 5,897.90 is: 8,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.93 : 14,647.68 = 5,897.90 : x
  2. Step 2: Convert to fraction form
    10,613.93/14,647.68 = 5,897.90/x
  3. Step 3: Cross multiply
    10,613.93x = 14,647.68 × 5,897.90
  4. Step 4: Simplify right side
    10,613.93x = 86,390,478.63
  5. Step 5: Solve for x
    x = 86,390,478.63/10,613.93
  6. Step 6: Final answer
    x = 8,139.35

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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.