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Finding the Fourth Proportional to 6,687.72, 10,032.14 and 2,303.40

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Solution

The fourth proportional to 6,687.72, 10,032.14 and 2,303.40 is: 3,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.72 : 10,032.14 = 2,303.40 : x
  2. Step 2: Convert to fraction form
    6,687.72/10,032.14 = 2,303.40/x
  3. Step 3: Cross multiply
    6,687.72x = 10,032.14 × 2,303.40
  4. Step 4: Simplify right side
    6,687.72x = 23,108,031.28
  5. Step 5: Solve for x
    x = 23,108,031.28/6,687.72
  6. Step 6: Final answer
    x = 3,455.29

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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.