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Finding the Fourth Proportional to 10,559.52, 14,572.44 and 5,844.24

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Solution

The fourth proportional to 10,559.52, 14,572.44 and 5,844.24 is: 8,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.52 : 14,572.44 = 5,844.24 : x
  2. Step 2: Convert to fraction form
    10,559.52/14,572.44 = 5,844.24/x
  3. Step 3: Cross multiply
    10,559.52x = 14,572.44 × 5,844.24
  4. Step 4: Simplify right side
    10,559.52x = 85,164,836.75
  5. Step 5: Solve for x
    x = 85,164,836.75/10,559.52
  6. Step 6: Final answer
    x = 8,065.22

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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.