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Finding the Fourth Proportional to 10,555.04, 14,565.94 and 5,839.31

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Solution

The fourth proportional to 10,555.04, 14,565.94 and 5,839.31 is: 8,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.04 : 14,565.94 = 5,839.31 : x
  2. Step 2: Convert to fraction form
    10,555.04/14,565.94 = 5,839.31/x
  3. Step 3: Cross multiply
    10,555.04x = 14,565.94 × 5,839.31
  4. Step 4: Simplify right side
    10,555.04x = 85,055,060.92
  5. Step 5: Solve for x
    x = 85,055,060.92/10,555.04
  6. Step 6: Final answer
    x = 8,058.24

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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.