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Finding the Fourth Proportional to 11,498.45, 15,865.04 and 7,020.57

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Solution

The fourth proportional to 11,498.45, 15,865.04 and 7,020.57 is: 9,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.45 : 15,865.04 = 7,020.57 : x
  2. Step 2: Convert to fraction form
    11,498.45/15,865.04 = 7,020.57/x
  3. Step 3: Cross multiply
    11,498.45x = 15,865.04 × 7,020.57
  4. Step 4: Simplify right side
    11,498.45x = 111,381,544.55
  5. Step 5: Solve for x
    x = 111,381,544.55/11,498.45
  6. Step 6: Final answer
    x = 9,686.66

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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.