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Finding the Fourth Proportional to 10,922.16, 15,072.88 and 6,206.08

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Solution

The fourth proportional to 10,922.16, 15,072.88 and 6,206.08 is: 8,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.16 : 15,072.88 = 6,206.08 : x
  2. Step 2: Convert to fraction form
    10,922.16/15,072.88 = 6,206.08/x
  3. Step 3: Cross multiply
    10,922.16x = 15,072.88 × 6,206.08
  4. Step 4: Simplify right side
    10,922.16x = 93,543,499.11
  5. Step 5: Solve for x
    x = 93,543,499.11/10,922.16
  6. Step 6: Final answer
    x = 8,564.56

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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.