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Finding the Fourth Proportional to 10,613.39, 14,646.93 and 5,897.66

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Solution

The fourth proportional to 10,613.39, 14,646.93 and 5,897.66 is: 8,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.39 : 14,646.93 = 5,897.66 : x
  2. Step 2: Convert to fraction form
    10,613.39/14,646.93 = 5,897.66/x
  3. Step 3: Cross multiply
    10,613.39x = 14,646.93 × 5,897.66
  4. Step 4: Simplify right side
    10,613.39x = 86,382,613.18
  5. Step 5: Solve for x
    x = 86,382,613.18/10,613.39
  6. Step 6: Final answer
    x = 8,139.02

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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.