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Finding the Fourth Proportional to 10,056.51, 15,078.89 and 3,034.42

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Solution

The fourth proportional to 10,056.51, 15,078.89 and 3,034.42 is: 4,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.51 : 15,078.89 = 3,034.42 : x
  2. Step 2: Convert to fraction form
    10,056.51/15,078.89 = 3,034.42/x
  3. Step 3: Cross multiply
    10,056.51x = 15,078.89 × 3,034.42
  4. Step 4: Simplify right side
    10,056.51x = 45,755,700.45
  5. Step 5: Solve for x
    x = 45,755,700.45/10,056.51
  6. Step 6: Final answer
    x = 4,549.86

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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.