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Finding the Fourth Proportional to 10,155.20, 14,014.20 and 5,907.28

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Solution

The fourth proportional to 10,155.20, 14,014.20 and 5,907.28 is: 8,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.20 : 14,014.20 = 5,907.28 : x
  2. Step 2: Convert to fraction form
    10,155.20/14,014.20 = 5,907.28/x
  3. Step 3: Cross multiply
    10,155.20x = 14,014.20 × 5,907.28
  4. Step 4: Simplify right side
    10,155.20x = 82,785,803.38
  5. Step 5: Solve for x
    x = 82,785,803.38/10,155.20
  6. Step 6: Final answer
    x = 8,152.06

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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.