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Finding the Fourth Proportional to 4,474.74, 6,712.12 and 1,188.10

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Solution

The fourth proportional to 4,474.74, 6,712.12 and 1,188.10 is: 1,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.74 : 6,712.12 = 1,188.10 : x
  2. Step 2: Convert to fraction form
    4,474.74/6,712.12 = 1,188.10/x
  3. Step 3: Cross multiply
    4,474.74x = 6,712.12 × 1,188.10
  4. Step 4: Simplify right side
    4,474.74x = 7,974,669.77
  5. Step 5: Solve for x
    x = 7,974,669.77/4,474.74
  6. Step 6: Final answer
    x = 1,782.15

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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.