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Finding the Fourth Proportional to 7,302.26, 10,077.28 and 4,158.38

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Solution

The fourth proportional to 7,302.26, 10,077.28 and 4,158.38 is: 5,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.26 : 10,077.28 = 4,158.38 : x
  2. Step 2: Convert to fraction form
    7,302.26/10,077.28 = 4,158.38/x
  3. Step 3: Cross multiply
    7,302.26x = 10,077.28 × 4,158.38
  4. Step 4: Simplify right side
    7,302.26x = 41,905,159.61
  5. Step 5: Solve for x
    x = 41,905,159.61/7,302.26
  6. Step 6: Final answer
    x = 5,738.66

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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.