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Finding the Fourth Proportional to 7,888.59, 11,834.04 and 2,341.26

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Solution

The fourth proportional to 7,888.59, 11,834.04 and 2,341.26 is: 3,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.59 : 11,834.04 = 2,341.26 : x
  2. Step 2: Convert to fraction form
    7,888.59/11,834.04 = 2,341.26/x
  3. Step 3: Cross multiply
    7,888.59x = 11,834.04 × 2,341.26
  4. Step 4: Simplify right side
    7,888.59x = 27,706,564.49
  5. Step 5: Solve for x
    x = 27,706,564.49/7,888.59
  6. Step 6: Final answer
    x = 3,512.23

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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.