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Finding the Fourth Proportional to 7,669.53, 11,518.17 and 7,052.11

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Solution

The fourth proportional to 7,669.53, 11,518.17 and 7,052.11 is: 10,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.53 : 11,518.17 = 7,052.11 : x
  2. Step 2: Convert to fraction form
    7,669.53/11,518.17 = 7,052.11/x
  3. Step 3: Cross multiply
    7,669.53x = 11,518.17 × 7,052.11
  4. Step 4: Simplify right side
    7,669.53x = 81,227,346.60
  5. Step 5: Solve for x
    x = 81,227,346.60/7,669.53
  6. Step 6: Final answer
    x = 10,590.92

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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.