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Finding the Fourth Proportional to 10,222.88, 14,095.92 and 8,728.16

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Solution

The fourth proportional to 10,222.88, 14,095.92 and 8,728.16 is: 12,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.88 : 14,095.92 = 8,728.16 : x
  2. Step 2: Convert to fraction form
    10,222.88/14,095.92 = 8,728.16/x
  3. Step 3: Cross multiply
    10,222.88x = 14,095.92 × 8,728.16
  4. Step 4: Simplify right side
    10,222.88x = 123,031,445.11
  5. Step 5: Solve for x
    x = 123,031,445.11/10,222.88
  6. Step 6: Final answer
    x = 12,034.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.