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Finding the Fourth Proportional to 11,167.80, 15,411.45 and 6,132

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Solution

The fourth proportional to 11,167.80, 15,411.45 and 6,132 is: 8,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.80 : 15,411.45 = 6,132 : x
  2. Step 2: Convert to fraction form
    11,167.80/15,411.45 = 6,132/x
  3. Step 3: Cross multiply
    11,167.80x = 15,411.45 × 6,132
  4. Step 4: Simplify right side
    11,167.80x = 94,503,011.40
  5. Step 5: Solve for x
    x = 94,503,011.40/11,167.80
  6. Step 6: Final answer
    x = 8,462.10

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