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Finding the Fourth Proportional to 7,661.36, 11,492.74 and 2,981.72

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Solution

The fourth proportional to 7,661.36, 11,492.74 and 2,981.72 is: 4,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.36 : 11,492.74 = 2,981.72 : x
  2. Step 2: Convert to fraction form
    7,661.36/11,492.74 = 2,981.72/x
  3. Step 3: Cross multiply
    7,661.36x = 11,492.74 × 2,981.72
  4. Step 4: Simplify right side
    7,661.36x = 34,268,132.71
  5. Step 5: Solve for x
    x = 34,268,132.71/7,661.36
  6. Step 6: Final answer
    x = 4,472.85

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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.