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Finding the Fourth Proportional to 7,957.76, 11,939.90 and 4,264.16

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Solution

The fourth proportional to 7,957.76, 11,939.90 and 4,264.16 is: 6,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.76 : 11,939.90 = 4,264.16 : x
  2. Step 2: Convert to fraction form
    7,957.76/11,939.90 = 4,264.16/x
  3. Step 3: Cross multiply
    7,957.76x = 11,939.90 × 4,264.16
  4. Step 4: Simplify right side
    7,957.76x = 50,913,643.98
  5. Step 5: Solve for x
    x = 50,913,643.98/7,957.76
  6. Step 6: Final answer
    x = 6,397.99

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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.