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Finding the Fourth Proportional to 10,580.40, 14,599.92 and 5,864.58

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Solution

The fourth proportional to 10,580.40, 14,599.92 and 5,864.58 is: 8,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.40 : 14,599.92 = 5,864.58 : x
  2. Step 2: Convert to fraction form
    10,580.40/14,599.92 = 5,864.58/x
  3. Step 3: Cross multiply
    10,580.40x = 14,599.92 × 5,864.58
  4. Step 4: Simplify right side
    10,580.40x = 85,622,398.83
  5. Step 5: Solve for x
    x = 85,622,398.83/10,580.40
  6. Step 6: Final answer
    x = 8,092.55

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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.