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Finding the Fourth Proportional to 10,878.32, 16,381.94 and 9,508.16

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Solution

The fourth proportional to 10,878.32, 16,381.94 and 9,508.16 is: 14,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.32 : 16,381.94 = 9,508.16 : x
  2. Step 2: Convert to fraction form
    10,878.32/16,381.94 = 9,508.16/x
  3. Step 3: Cross multiply
    10,878.32x = 16,381.94 × 9,508.16
  4. Step 4: Simplify right side
    10,878.32x = 155,762,106.63
  5. Step 5: Solve for x
    x = 155,762,106.63/10,878.32
  6. Step 6: Final answer
    x = 14,318.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.