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Finding the Fourth Proportional to 11,499.63, 15,870.06 and 7,022.66

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Solution

The fourth proportional to 11,499.63, 15,870.06 and 7,022.66 is: 9,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.63 : 15,870.06 = 7,022.66 : x
  2. Step 2: Convert to fraction form
    11,499.63/15,870.06 = 7,022.66/x
  3. Step 3: Cross multiply
    11,499.63x = 15,870.06 × 7,022.66
  4. Step 4: Simplify right side
    11,499.63x = 111,449,956.21
  5. Step 5: Solve for x
    x = 111,449,956.21/11,499.63
  6. Step 6: Final answer
    x = 9,691.61

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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.