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Finding the Fourth Proportional to 7,807.84, 11,710.94 and 2,262.04

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Solution

The fourth proportional to 7,807.84, 11,710.94 and 2,262.04 is: 3,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.84 : 11,710.94 = 2,262.04 : x
  2. Step 2: Convert to fraction form
    7,807.84/11,710.94 = 2,262.04/x
  3. Step 3: Cross multiply
    7,807.84x = 11,710.94 × 2,262.04
  4. Step 4: Simplify right side
    7,807.84x = 26,490,614.72
  5. Step 5: Solve for x
    x = 26,490,614.72/7,807.84
  6. Step 6: Final answer
    x = 3,392.82

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Why These Related Problems?

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