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Finding the Fourth Proportional to 7,474.76, 10,314.74 and 4,117.56

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Solution

The fourth proportional to 7,474.76, 10,314.74 and 4,117.56 is: 5,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.76 : 10,314.74 = 4,117.56 : x
  2. Step 2: Convert to fraction form
    7,474.76/10,314.74 = 4,117.56/x
  3. Step 3: Cross multiply
    7,474.76x = 10,314.74 × 4,117.56
  4. Step 4: Simplify right side
    7,474.76x = 42,471,561.46
  5. Step 5: Solve for x
    x = 42,471,561.46/7,474.76
  6. Step 6: Final answer
    x = 5,682.00

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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.