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Finding the Fourth Proportional to 10,878.32, 16,302.21 and 4,629.87

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Solution

The fourth proportional to 10,878.32, 16,302.21 and 4,629.87 is: 6,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.32 : 16,302.21 = 4,629.87 : x
  2. Step 2: Convert to fraction form
    10,878.32/16,302.21 = 4,629.87/x
  3. Step 3: Cross multiply
    10,878.32x = 16,302.21 × 4,629.87
  4. Step 4: Simplify right side
    10,878.32x = 75,477,113.01
  5. Step 5: Solve for x
    x = 75,477,113.01/10,878.32
  6. Step 6: Final answer
    x = 6,938.31

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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.