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Finding the Fourth Proportional to 7,877.92, 11,812.71 and 2,330.50

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Solution

The fourth proportional to 7,877.92, 11,812.71 and 2,330.50 is: 3,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.92 : 11,812.71 = 2,330.50 : x
  2. Step 2: Convert to fraction form
    7,877.92/11,812.71 = 2,330.50/x
  3. Step 3: Cross multiply
    7,877.92x = 11,812.71 × 2,330.50
  4. Step 4: Simplify right side
    7,877.92x = 27,529,538.53
  5. Step 5: Solve for x
    x = 27,529,538.53/7,877.92
  6. Step 6: Final answer
    x = 3,494.52

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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.