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Finding the Fourth Proportional to 10,543.77, 14,551.20 and 5,828.88

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Solution

The fourth proportional to 10,543.77, 14,551.20 and 5,828.88 is: 8,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.77 : 14,551.20 = 5,828.88 : x
  2. Step 2: Convert to fraction form
    10,543.77/14,551.20 = 5,828.88/x
  3. Step 3: Cross multiply
    10,543.77x = 14,551.20 × 5,828.88
  4. Step 4: Simplify right side
    10,543.77x = 84,817,198.66
  5. Step 5: Solve for x
    x = 84,817,198.66/10,543.77
  6. Step 6: Final answer
    x = 8,044.30

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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.