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Finding the Fourth Proportional to 7,869.74, 11,804.64 and 2,323.15

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Solution

The fourth proportional to 7,869.74, 11,804.64 and 2,323.15 is: 3,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.74 : 11,804.64 = 2,323.15 : x
  2. Step 2: Convert to fraction form
    7,869.74/11,804.64 = 2,323.15/x
  3. Step 3: Cross multiply
    7,869.74x = 11,804.64 × 2,323.15
  4. Step 4: Simplify right side
    7,869.74x = 27,423,949.42
  5. Step 5: Solve for x
    x = 27,423,949.42/7,869.74
  6. Step 6: Final answer
    x = 3,484.73

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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.