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Finding the Fourth Proportional to 11,468.16, 15,823.68 and 7,274.88

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Solution

The fourth proportional to 11,468.16, 15,823.68 and 7,274.88 is: 10,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.16 : 15,823.68 = 7,274.88 : x
  2. Step 2: Convert to fraction form
    11,468.16/15,823.68 = 7,274.88/x
  3. Step 3: Cross multiply
    11,468.16x = 15,823.68 × 7,274.88
  4. Step 4: Simplify right side
    11,468.16x = 115,115,373.16
  5. Step 5: Solve for x
    x = 115,115,373.16/11,468.16
  6. Step 6: Final answer
    x = 10,037.82

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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.