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Finding the Fourth Proportional to 10,712.40, 16,061.84 and 3,314.40

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Solution

The fourth proportional to 10,712.40, 16,061.84 and 3,314.40 is: 4,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.40 : 16,061.84 = 3,314.40 : x
  2. Step 2: Convert to fraction form
    10,712.40/16,061.84 = 3,314.40/x
  3. Step 3: Cross multiply
    10,712.40x = 16,061.84 × 3,314.40
  4. Step 4: Simplify right side
    10,712.40x = 53,235,362.50
  5. Step 5: Solve for x
    x = 53,235,362.50/10,712.40
  6. Step 6: Final answer
    x = 4,969.51

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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.