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Finding the Fourth Proportional to 11,509.60, 15,882.56 and 6,795.36

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Solution

The fourth proportional to 11,509.60, 15,882.56 and 6,795.36 is: 9,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.60 : 15,882.56 = 6,795.36 : x
  2. Step 2: Convert to fraction form
    11,509.60/15,882.56 = 6,795.36/x
  3. Step 3: Cross multiply
    11,509.60x = 15,882.56 × 6,795.36
  4. Step 4: Simplify right side
    11,509.60x = 107,927,712.92
  5. Step 5: Solve for x
    x = 107,927,712.92/11,509.60
  6. Step 6: Final answer
    x = 9,377.19

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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.