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Finding the Fourth Proportional to 8,763.78, 13,139.50 and 4,378.14

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Solution

The fourth proportional to 8,763.78, 13,139.50 and 4,378.14 is: 6,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.78 : 13,139.50 = 4,378.14 : x
  2. Step 2: Convert to fraction form
    8,763.78/13,139.50 = 4,378.14/x
  3. Step 3: Cross multiply
    8,763.78x = 13,139.50 × 4,378.14
  4. Step 4: Simplify right side
    8,763.78x = 57,526,570.53
  5. Step 5: Solve for x
    x = 57,526,570.53/8,763.78
  6. Step 6: Final answer
    x = 6,564.13

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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.