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Finding the Fourth Proportional to 6,980.19, 10,469.88 and 2,595.66

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Solution

The fourth proportional to 6,980.19, 10,469.88 and 2,595.66 is: 3,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.19 : 10,469.88 = 2,595.66 : x
  2. Step 2: Convert to fraction form
    6,980.19/10,469.88 = 2,595.66/x
  3. Step 3: Cross multiply
    6,980.19x = 10,469.88 × 2,595.66
  4. Step 4: Simplify right side
    6,980.19x = 27,176,248.72
  5. Step 5: Solve for x
    x = 27,176,248.72/6,980.19
  6. Step 6: Final answer
    x = 3,893.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.