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Finding the Fourth Proportional to 8,678.76, 13,018.50 and 2,522.76

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Solution

The fourth proportional to 8,678.76, 13,018.50 and 2,522.76 is: 3,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.76 : 13,018.50 = 2,522.76 : x
  2. Step 2: Convert to fraction form
    8,678.76/13,018.50 = 2,522.76/x
  3. Step 3: Cross multiply
    8,678.76x = 13,018.50 × 2,522.76
  4. Step 4: Simplify right side
    8,678.76x = 32,842,551.06
  5. Step 5: Solve for x
    x = 32,842,551.06/8,678.76
  6. Step 6: Final answer
    x = 3,784.24

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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.