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Finding the Fourth Proportional to 10,346.77, 15,517.39 and 4,502

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Solution

The fourth proportional to 10,346.77, 15,517.39 and 4,502 is: 6,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.77 : 15,517.39 = 4,502 : x
  2. Step 2: Convert to fraction form
    10,346.77/15,517.39 = 4,502/x
  3. Step 3: Cross multiply
    10,346.77x = 15,517.39 × 4,502
  4. Step 4: Simplify right side
    10,346.77x = 69,859,289.78
  5. Step 5: Solve for x
    x = 69,859,289.78/10,346.77
  6. Step 6: Final answer
    x = 6,751.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.