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Finding the Fourth Proportional to 7,141.88, 9,856.02 and 4,158.76

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Solution

The fourth proportional to 7,141.88, 9,856.02 and 4,158.76 is: 5,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.88 : 9,856.02 = 4,158.76 : x
  2. Step 2: Convert to fraction form
    7,141.88/9,856.02 = 4,158.76/x
  3. Step 3: Cross multiply
    7,141.88x = 9,856.02 × 4,158.76
  4. Step 4: Simplify right side
    7,141.88x = 40,988,821.74
  5. Step 5: Solve for x
    x = 40,988,821.74/7,141.88
  6. Step 6: Final answer
    x = 5,739.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.