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Finding the Fourth Proportional to 10,878.28, 16,317 and 3,482.53

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Solution

The fourth proportional to 10,878.28, 16,317 and 3,482.53 is: 5,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.28 : 16,317 = 3,482.53 : x
  2. Step 2: Convert to fraction form
    10,878.28/16,317 = 3,482.53/x
  3. Step 3: Cross multiply
    10,878.28x = 16,317 × 3,482.53
  4. Step 4: Simplify right side
    10,878.28x = 56,824,442.01
  5. Step 5: Solve for x
    x = 56,824,442.01/10,878.28
  6. Step 6: Final answer
    x = 5,223.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.