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Finding the Fourth Proportional to 10,061.40, 15,074.97 and 6,546.06

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Solution

The fourth proportional to 10,061.40, 15,074.97 and 6,546.06 is: 9,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.40 : 15,074.97 = 6,546.06 : x
  2. Step 2: Convert to fraction form
    10,061.40/15,074.97 = 6,546.06/x
  3. Step 3: Cross multiply
    10,061.40x = 15,074.97 × 6,546.06
  4. Step 4: Simplify right side
    10,061.40x = 98,681,658.12
  5. Step 5: Solve for x
    x = 98,681,658.12/10,061.40
  6. Step 6: Final answer
    x = 9,807.95

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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.