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Finding the Fourth Proportional to 10,347.87, 14,280.12 and 5,632.14

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Solution

The fourth proportional to 10,347.87, 14,280.12 and 5,632.14 is: 7,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.87 : 14,280.12 = 5,632.14 : x
  2. Step 2: Convert to fraction form
    10,347.87/14,280.12 = 5,632.14/x
  3. Step 3: Cross multiply
    10,347.87x = 14,280.12 × 5,632.14
  4. Step 4: Simplify right side
    10,347.87x = 80,427,635.06
  5. Step 5: Solve for x
    x = 80,427,635.06/10,347.87
  6. Step 6: Final answer
    x = 7,772.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.