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Finding the Fourth Proportional to 7,661.66, 11,492.52 and 2,731.48

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Solution

The fourth proportional to 7,661.66, 11,492.52 and 2,731.48 is: 4,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.66 : 11,492.52 = 2,731.48 : x
  2. Step 2: Convert to fraction form
    7,661.66/11,492.52 = 2,731.48/x
  3. Step 3: Cross multiply
    7,661.66x = 11,492.52 × 2,731.48
  4. Step 4: Simplify right side
    7,661.66x = 31,391,588.53
  5. Step 5: Solve for x
    x = 31,391,588.53/7,661.66
  6. Step 6: Final answer
    x = 4,097.23

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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.