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Finding the Fourth Proportional to 9,048.60, 12,492.90 and 7,882.20

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Solution

The fourth proportional to 9,048.60, 12,492.90 and 7,882.20 is: 10,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.60 : 12,492.90 = 7,882.20 : x
  2. Step 2: Convert to fraction form
    9,048.60/12,492.90 = 7,882.20/x
  3. Step 3: Cross multiply
    9,048.60x = 12,492.90 × 7,882.20
  4. Step 4: Simplify right side
    9,048.60x = 98,471,536.38
  5. Step 5: Solve for x
    x = 98,471,536.38/9,048.60
  6. Step 6: Final answer
    x = 10,882.52

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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.