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Finding the Fourth Proportional to 7,757.16, 10,706.85 and 4,967.52

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Solution

The fourth proportional to 7,757.16, 10,706.85 and 4,967.52 is: 6,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.16 : 10,706.85 = 4,967.52 : x
  2. Step 2: Convert to fraction form
    7,757.16/10,706.85 = 4,967.52/x
  3. Step 3: Cross multiply
    7,757.16x = 10,706.85 × 4,967.52
  4. Step 4: Simplify right side
    7,757.16x = 53,186,491.51
  5. Step 5: Solve for x
    x = 53,186,491.51/7,757.16
  6. Step 6: Final answer
    x = 6,856.44

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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.