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Finding the Fourth Proportional to 10,613.03, 14,645.61 and 5,897.00

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Solution

The fourth proportional to 10,613.03, 14,645.61 and 5,897.00 is: 8,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.03 : 14,645.61 = 5,897.00 : x
  2. Step 2: Convert to fraction form
    10,613.03/14,645.61 = 5,897.00/x
  3. Step 3: Cross multiply
    10,613.03x = 14,645.61 × 5,897.00
  4. Step 4: Simplify right side
    10,613.03x = 86,365,198.78
  5. Step 5: Solve for x
    x = 86,365,198.78/10,613.03
  6. Step 6: Final answer
    x = 8,137.66

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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.