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Finding the Fourth Proportional to 6,951.29, 10,424.16 and 4,031.64

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Solution

The fourth proportional to 6,951.29, 10,424.16 and 4,031.64 is: 6,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.29 : 10,424.16 = 4,031.64 : x
  2. Step 2: Convert to fraction form
    6,951.29/10,424.16 = 4,031.64/x
  3. Step 3: Cross multiply
    6,951.29x = 10,424.16 × 4,031.64
  4. Step 4: Simplify right side
    6,951.29x = 42,026,460.42
  5. Step 5: Solve for x
    x = 42,026,460.42/6,951.29
  6. Step 6: Final answer
    x = 6,045.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.