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Finding the Fourth Proportional to 7,297.55, 10,929.90 and 5,116.02

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Solution

The fourth proportional to 7,297.55, 10,929.90 and 5,116.02 is: 7,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.55 : 10,929.90 = 5,116.02 : x
  2. Step 2: Convert to fraction form
    7,297.55/10,929.90 = 5,116.02/x
  3. Step 3: Cross multiply
    7,297.55x = 10,929.90 × 5,116.02
  4. Step 4: Simplify right side
    7,297.55x = 55,917,565.20
  5. Step 5: Solve for x
    x = 55,917,565.20/7,297.55
  6. Step 6: Final answer
    x = 7,662.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.