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Finding the Fourth Proportional to 7,530.64, 10,391.88 and 4,343.20

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Solution

The fourth proportional to 7,530.64, 10,391.88 and 4,343.20 is: 5,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.64 : 10,391.88 = 4,343.20 : x
  2. Step 2: Convert to fraction form
    7,530.64/10,391.88 = 4,343.20/x
  3. Step 3: Cross multiply
    7,530.64x = 10,391.88 × 4,343.20
  4. Step 4: Simplify right side
    7,530.64x = 45,134,013.22
  5. Step 5: Solve for x
    x = 45,134,013.22/7,530.64
  6. Step 6: Final answer
    x = 5,993.38

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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.