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Finding the Fourth Proportional to 7,506, 11,258.91 and 7,049.30

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Solution

The fourth proportional to 7,506, 11,258.91 and 7,049.30 is: 10,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 11,258.91 = 7,049.30 : x
  2. Step 2: Convert to fraction form
    7,506/11,258.91 = 7,049.30/x
  3. Step 3: Cross multiply
    7,506x = 11,258.91 × 7,049.30
  4. Step 4: Simplify right side
    7,506x = 79,367,377.97
  5. Step 5: Solve for x
    x = 79,367,377.97/7,506
  6. Step 6: Final answer
    x = 10,573.86

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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.