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Finding the Fourth Proportional to 7,807.45, 11,712.88 and 2,261.02

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Solution

The fourth proportional to 7,807.45, 11,712.88 and 2,261.02 is: 3,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.45 : 11,712.88 = 2,261.02 : x
  2. Step 2: Convert to fraction form
    7,807.45/11,712.88 = 2,261.02/x
  3. Step 3: Cross multiply
    7,807.45x = 11,712.88 × 2,261.02
  4. Step 4: Simplify right side
    7,807.45x = 26,482,997.37
  5. Step 5: Solve for x
    x = 26,482,997.37/7,807.45
  6. Step 6: Final answer
    x = 3,392.02

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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.