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Finding the Fourth Proportional to 11,113.18, 15,323.97 and 7,132.78

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Solution

The fourth proportional to 11,113.18, 15,323.97 and 7,132.78 is: 9,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,113.18 : 15,323.97 = 7,132.78 : x
  2. Step 2: Convert to fraction form
    11,113.18/15,323.97 = 7,132.78/x
  3. Step 3: Cross multiply
    11,113.18x = 15,323.97 × 7,132.78
  4. Step 4: Simplify right side
    11,113.18x = 109,302,506.74
  5. Step 5: Solve for x
    x = 109,302,506.74/11,113.18
  6. Step 6: Final answer
    x = 9,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.