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Finding the Fourth Proportional to 7,767.46, 10,715.68 and 5,248.65

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Solution

The fourth proportional to 7,767.46, 10,715.68 and 5,248.65 is: 7,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.46 : 10,715.68 = 5,248.65 : x
  2. Step 2: Convert to fraction form
    7,767.46/10,715.68 = 5,248.65/x
  3. Step 3: Cross multiply
    7,767.46x = 10,715.68 × 5,248.65
  4. Step 4: Simplify right side
    7,767.46x = 56,242,915.34
  5. Step 5: Solve for x
    x = 56,242,915.34/7,767.46
  6. Step 6: Final answer
    x = 7,240.84

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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.