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Finding the Fourth Proportional to 11,064.92, 15,270 and 6,815.12

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Solution

The fourth proportional to 11,064.92, 15,270 and 6,815.12 is: 9,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.92 : 15,270 = 6,815.12 : x
  2. Step 2: Convert to fraction form
    11,064.92/15,270 = 6,815.12/x
  3. Step 3: Cross multiply
    11,064.92x = 15,270 × 6,815.12
  4. Step 4: Simplify right side
    11,064.92x = 104,066,882.40
  5. Step 5: Solve for x
    x = 104,066,882.40/11,064.92
  6. Step 6: Final answer
    x = 9,405.12

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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.