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Finding the Fourth Proportional to 7,807.32, 11,712.70 and 2,260.88

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Solution

The fourth proportional to 7,807.32, 11,712.70 and 2,260.88 is: 3,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.32 : 11,712.70 = 2,260.88 : x
  2. Step 2: Convert to fraction form
    7,807.32/11,712.70 = 2,260.88/x
  3. Step 3: Cross multiply
    7,807.32x = 11,712.70 × 2,260.88
  4. Step 4: Simplify right side
    7,807.32x = 26,480,997.36
  5. Step 5: Solve for x
    x = 26,480,997.36/7,807.32
  6. Step 6: Final answer
    x = 3,391.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.