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Finding the Fourth Proportional to 10,993.76, 15,166.12 and 7,215.40

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Solution

The fourth proportional to 10,993.76, 15,166.12 and 7,215.40 is: 9,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.76 : 15,166.12 = 7,215.40 : x
  2. Step 2: Convert to fraction form
    10,993.76/15,166.12 = 7,215.40/x
  3. Step 3: Cross multiply
    10,993.76x = 15,166.12 × 7,215.40
  4. Step 4: Simplify right side
    10,993.76x = 109,429,622.25
  5. Step 5: Solve for x
    x = 109,429,622.25/10,993.76
  6. Step 6: Final answer
    x = 9,953.79

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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.