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Finding the Fourth Proportional to 7,248.32, 10,005.04 and 4,264

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Solution

The fourth proportional to 7,248.32, 10,005.04 and 4,264 is: 5,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.32 : 10,005.04 = 4,264 : x
  2. Step 2: Convert to fraction form
    7,248.32/10,005.04 = 4,264/x
  3. Step 3: Cross multiply
    7,248.32x = 10,005.04 × 4,264
  4. Step 4: Simplify right side
    7,248.32x = 42,661,490.56
  5. Step 5: Solve for x
    x = 42,661,490.56/7,248.32
  6. Step 6: Final answer
    x = 5,885.71

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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.