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Finding the Fourth Proportional to 10,134, 15,195.72 and 4,582.56

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Solution

The fourth proportional to 10,134, 15,195.72 and 4,582.56 is: 6,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 15,195.72 = 4,582.56 : x
  2. Step 2: Convert to fraction form
    10,134/15,195.72 = 4,582.56/x
  3. Step 3: Cross multiply
    10,134x = 15,195.72 × 4,582.56
  4. Step 4: Simplify right side
    10,134x = 69,635,298.64
  5. Step 5: Solve for x
    x = 69,635,298.64/10,134
  6. Step 6: Final answer
    x = 6,871.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.