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Finding the Fourth Proportional to 10,538.56, 14,543.40 and 5,823.04

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Solution

The fourth proportional to 10,538.56, 14,543.40 and 5,823.04 is: 8,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.56 : 14,543.40 = 5,823.04 : x
  2. Step 2: Convert to fraction form
    10,538.56/14,543.40 = 5,823.04/x
  3. Step 3: Cross multiply
    10,538.56x = 14,543.40 × 5,823.04
  4. Step 4: Simplify right side
    10,538.56x = 84,686,799.94
  5. Step 5: Solve for x
    x = 84,686,799.94/10,538.56
  6. Step 6: Final answer
    x = 8,035.90

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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.