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Finding the Fourth Proportional to 10,613.40, 14,647.14 and 5,897.64

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Solution

The fourth proportional to 10,613.40, 14,647.14 and 5,897.64 is: 8,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.40 : 14,647.14 = 5,897.64 : x
  2. Step 2: Convert to fraction form
    10,613.40/14,647.14 = 5,897.64/x
  3. Step 3: Cross multiply
    10,613.40x = 14,647.14 × 5,897.64
  4. Step 4: Simplify right side
    10,613.40x = 86,383,558.75
  5. Step 5: Solve for x
    x = 86,383,558.75/10,613.40
  6. Step 6: Final answer
    x = 8,139.10

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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.