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Finding the Fourth Proportional to 10,482.66, 15,724.98 and 3,907.28

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Solution

The fourth proportional to 10,482.66, 15,724.98 and 3,907.28 is: 5,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.66 : 15,724.98 = 3,907.28 : x
  2. Step 2: Convert to fraction form
    10,482.66/15,724.98 = 3,907.28/x
  3. Step 3: Cross multiply
    10,482.66x = 15,724.98 × 3,907.28
  4. Step 4: Simplify right side
    10,482.66x = 61,441,899.85
  5. Step 5: Solve for x
    x = 61,441,899.85/10,482.66
  6. Step 6: Final answer
    x = 5,861.29

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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.