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Finding the Fourth Proportional to 10,087, 15,130.52 and 2,791

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Solution

The fourth proportional to 10,087, 15,130.52 and 2,791 is: 4,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087 : 15,130.52 = 2,791 : x
  2. Step 2: Convert to fraction form
    10,087/15,130.52 = 2,791/x
  3. Step 3: Cross multiply
    10,087x = 15,130.52 × 2,791
  4. Step 4: Simplify right side
    10,087x = 42,229,281.32
  5. Step 5: Solve for x
    x = 42,229,281.32/10,087
  6. Step 6: Final answer
    x = 4,186.51

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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.