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Finding the Fourth Proportional to 10,543.14, 14,549.58 and 5,827.59

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Solution

The fourth proportional to 10,543.14, 14,549.58 and 5,827.59 is: 8,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.14 : 14,549.58 = 5,827.59 : x
  2. Step 2: Convert to fraction form
    10,543.14/14,549.58 = 5,827.59/x
  3. Step 3: Cross multiply
    10,543.14x = 14,549.58 × 5,827.59
  4. Step 4: Simplify right side
    10,543.14x = 84,788,986.91
  5. Step 5: Solve for x
    x = 84,788,986.91/10,543.14
  6. Step 6: Final answer
    x = 8,042.10

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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.