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Finding the Fourth Proportional to 7,806.32, 11,715.48 and 4,522.16

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Solution

The fourth proportional to 7,806.32, 11,715.48 and 4,522.16 is: 6,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.32 : 11,715.48 = 4,522.16 : x
  2. Step 2: Convert to fraction form
    7,806.32/11,715.48 = 4,522.16/x
  3. Step 3: Cross multiply
    7,806.32x = 11,715.48 × 4,522.16
  4. Step 4: Simplify right side
    7,806.32x = 52,979,275.04
  5. Step 5: Solve for x
    x = 52,979,275.04/7,806.32
  6. Step 6: Final answer
    x = 6,786.72

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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.