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Finding the Fourth Proportional to 8,689.36, 11,980.56 and 5,890

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Solution

The fourth proportional to 8,689.36, 11,980.56 and 5,890 is: 8,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.36 : 11,980.56 = 5,890 : x
  2. Step 2: Convert to fraction form
    8,689.36/11,980.56 = 5,890/x
  3. Step 3: Cross multiply
    8,689.36x = 11,980.56 × 5,890
  4. Step 4: Simplify right side
    8,689.36x = 70,565,498.40
  5. Step 5: Solve for x
    x = 70,565,498.40/8,689.36
  6. Step 6: Final answer
    x = 8,120.91

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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.