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Finding the Fourth Proportional to 10,046.46, 15,073.10 and 4,848.78

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Solution

The fourth proportional to 10,046.46, 15,073.10 and 4,848.78 is: 7,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.46 : 15,073.10 = 4,848.78 : x
  2. Step 2: Convert to fraction form
    10,046.46/15,073.10 = 4,848.78/x
  3. Step 3: Cross multiply
    10,046.46x = 15,073.10 × 4,848.78
  4. Step 4: Simplify right side
    10,046.46x = 73,086,145.82
  5. Step 5: Solve for x
    x = 73,086,145.82/10,046.46
  6. Step 6: Final answer
    x = 7,274.82

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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.