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Finding the Fourth Proportional to 7,117.70, 10,689.35 and 6,887.30

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Solution

The fourth proportional to 7,117.70, 10,689.35 and 6,887.30 is: 10,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.70 : 10,689.35 = 6,887.30 : x
  2. Step 2: Convert to fraction form
    7,117.70/10,689.35 = 6,887.30/x
  3. Step 3: Cross multiply
    7,117.70x = 10,689.35 × 6,887.30
  4. Step 4: Simplify right side
    7,117.70x = 73,620,760.26
  5. Step 5: Solve for x
    x = 73,620,760.26/7,117.70
  6. Step 6: Final answer
    x = 10,343.34

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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.