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Finding the Fourth Proportional to 6,980.88, 10,472.87 and 2,302.34

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Solution

The fourth proportional to 6,980.88, 10,472.87 and 2,302.34 is: 3,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.88 : 10,472.87 = 2,302.34 : x
  2. Step 2: Convert to fraction form
    6,980.88/10,472.87 = 2,302.34/x
  3. Step 3: Cross multiply
    6,980.88x = 10,472.87 × 2,302.34
  4. Step 4: Simplify right side
    6,980.88x = 24,112,043.64
  5. Step 5: Solve for x
    x = 24,112,043.64/6,980.88
  6. Step 6: Final answer
    x = 3,454.01

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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.