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Finding the Fourth Proportional to 10,095.76, 15,146.16 and 3,522

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Solution

The fourth proportional to 10,095.76, 15,146.16 and 3,522 is: 5,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.76 : 15,146.16 = 3,522 : x
  2. Step 2: Convert to fraction form
    10,095.76/15,146.16 = 3,522/x
  3. Step 3: Cross multiply
    10,095.76x = 15,146.16 × 3,522
  4. Step 4: Simplify right side
    10,095.76x = 53,344,775.52
  5. Step 5: Solve for x
    x = 53,344,775.52/10,095.76
  6. Step 6: Final answer
    x = 5,283.88

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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.