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Finding the Fourth Proportional to 10,873.16, 16,312.14 and 3,478.22

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Solution

The fourth proportional to 10,873.16, 16,312.14 and 3,478.22 is: 5,218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.16 : 16,312.14 = 3,478.22 : x
  2. Step 2: Convert to fraction form
    10,873.16/16,312.14 = 3,478.22/x
  3. Step 3: Cross multiply
    10,873.16x = 16,312.14 × 3,478.22
  4. Step 4: Simplify right side
    10,873.16x = 56,737,211.59
  5. Step 5: Solve for x
    x = 56,737,211.59/10,873.16
  6. Step 6: Final answer
    x = 5,218.10

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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.