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Finding the Fourth Proportional to 10,075.97, 15,116.67 and 3,502.52

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Solution

The fourth proportional to 10,075.97, 15,116.67 and 3,502.52 is: 5,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.97 : 15,116.67 = 3,502.52 : x
  2. Step 2: Convert to fraction form
    10,075.97/15,116.67 = 3,502.52/x
  3. Step 3: Cross multiply
    10,075.97x = 15,116.67 × 3,502.52
  4. Step 4: Simplify right side
    10,075.97x = 52,946,363.43
  5. Step 5: Solve for x
    x = 52,946,363.43/10,075.97
  6. Step 6: Final answer
    x = 5,254.72

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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.