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Finding the Fourth Proportional to 11,359.36, 15,679.74 and 7,776.46

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Solution

The fourth proportional to 11,359.36, 15,679.74 and 7,776.46 is: 10,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.36 : 15,679.74 = 7,776.46 : x
  2. Step 2: Convert to fraction form
    11,359.36/15,679.74 = 7,776.46/x
  3. Step 3: Cross multiply
    11,359.36x = 15,679.74 × 7,776.46
  4. Step 4: Simplify right side
    11,359.36x = 121,932,870.92
  5. Step 5: Solve for x
    x = 121,932,870.92/11,359.36
  6. Step 6: Final answer
    x = 10,734.13

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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.