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Finding the Fourth Proportional to 10,554.98, 14,565.69 and 5,839.16

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Solution

The fourth proportional to 10,554.98, 14,565.69 and 5,839.16 is: 8,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.98 : 14,565.69 = 5,839.16 : x
  2. Step 2: Convert to fraction form
    10,554.98/14,565.69 = 5,839.16/x
  3. Step 3: Cross multiply
    10,554.98x = 14,565.69 × 5,839.16
  4. Step 4: Simplify right side
    10,554.98x = 85,051,321.59
  5. Step 5: Solve for x
    x = 85,051,321.59/10,554.98
  6. Step 6: Final answer
    x = 8,057.94

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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.