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Finding the Fourth Proportional to 10,458.72, 14,432.82 and 5,743.02

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Solution

The fourth proportional to 10,458.72, 14,432.82 and 5,743.02 is: 7,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.72 : 14,432.82 = 5,743.02 : x
  2. Step 2: Convert to fraction form
    10,458.72/14,432.82 = 5,743.02/x
  3. Step 3: Cross multiply
    10,458.72x = 14,432.82 × 5,743.02
  4. Step 4: Simplify right side
    10,458.72x = 82,887,973.92
  5. Step 5: Solve for x
    x = 82,887,973.92/10,458.72
  6. Step 6: Final answer
    x = 7,925.25

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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.