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Finding the Fourth Proportional to 7,615.38, 10,509.17 and 4,258.20

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Solution

The fourth proportional to 7,615.38, 10,509.17 and 4,258.20 is: 5,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.38 : 10,509.17 = 4,258.20 : x
  2. Step 2: Convert to fraction form
    7,615.38/10,509.17 = 4,258.20/x
  3. Step 3: Cross multiply
    7,615.38x = 10,509.17 × 4,258.20
  4. Step 4: Simplify right side
    7,615.38x = 44,750,126.40
  5. Step 5: Solve for x
    x = 44,750,126.40/7,615.38
  6. Step 6: Final answer
    x = 5,876.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.