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Finding the Fourth Proportional to 8,810.76, 13,214.85 and 2,569.10

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Solution

The fourth proportional to 8,810.76, 13,214.85 and 2,569.10 is: 3,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810.76 : 13,214.85 = 2,569.10 : x
  2. Step 2: Convert to fraction form
    8,810.76/13,214.85 = 2,569.10/x
  3. Step 3: Cross multiply
    8,810.76x = 13,214.85 × 2,569.10
  4. Step 4: Simplify right side
    8,810.76x = 33,950,214.69
  5. Step 5: Solve for x
    x = 33,950,214.69/8,810.76
  6. Step 6: Final answer
    x = 3,853.27

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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.