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Finding the Fourth Proportional to 10,041.89, 15,072.08 and 5,115.06

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Solution

The fourth proportional to 10,041.89, 15,072.08 and 5,115.06 is: 7,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.89 : 15,072.08 = 5,115.06 : x
  2. Step 2: Convert to fraction form
    10,041.89/15,072.08 = 5,115.06/x
  3. Step 3: Cross multiply
    10,041.89x = 15,072.08 × 5,115.06
  4. Step 4: Simplify right side
    10,041.89x = 77,094,631.21
  5. Step 5: Solve for x
    x = 77,094,631.21/10,041.89
  6. Step 6: Final answer
    x = 7,677.30

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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.