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Finding the Fourth Proportional to 12,752.46, 19,125.72 and 5,356.08

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Solution

The fourth proportional to 12,752.46, 19,125.72 and 5,356.08 is: 8,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.46 : 19,125.72 = 5,356.08 : x
  2. Step 2: Convert to fraction form
    12,752.46/19,125.72 = 5,356.08/x
  3. Step 3: Cross multiply
    12,752.46x = 19,125.72 × 5,356.08
  4. Step 4: Simplify right side
    12,752.46x = 102,438,886.38
  5. Step 5: Solve for x
    x = 102,438,886.38/12,752.46
  6. Step 6: Final answer
    x = 8,032.87

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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.