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Finding the Fourth Proportional to 10,830.13, 14,945.62 and 5,862.13

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Solution

The fourth proportional to 10,830.13, 14,945.62 and 5,862.13 is: 8,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.13 : 14,945.62 = 5,862.13 : x
  2. Step 2: Convert to fraction form
    10,830.13/14,945.62 = 5,862.13/x
  3. Step 3: Cross multiply
    10,830.13x = 14,945.62 × 5,862.13
  4. Step 4: Simplify right side
    10,830.13x = 87,613,092.64
  5. Step 5: Solve for x
    x = 87,613,092.64/10,830.13
  6. Step 6: Final answer
    x = 8,089.76

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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.