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Finding the Fourth Proportional to 12,756.11, 19,132.49 and 4,856.49

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Solution

The fourth proportional to 12,756.11, 19,132.49 and 4,856.49 is: 7,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.11 : 19,132.49 = 4,856.49 : x
  2. Step 2: Convert to fraction form
    12,756.11/19,132.49 = 4,856.49/x
  3. Step 3: Cross multiply
    12,756.11x = 19,132.49 × 4,856.49
  4. Step 4: Simplify right side
    12,756.11x = 92,916,758.50
  5. Step 5: Solve for x
    x = 92,916,758.50/12,756.11
  6. Step 6: Final answer
    x = 7,284.10

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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.