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Finding the Fourth Proportional to 6,686.72, 10,030.64 and 2,302.40

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Solution

The fourth proportional to 6,686.72, 10,030.64 and 2,302.40 is: 3,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.72 : 10,030.64 = 2,302.40 : x
  2. Step 2: Convert to fraction form
    6,686.72/10,030.64 = 2,302.40/x
  3. Step 3: Cross multiply
    6,686.72x = 10,030.64 × 2,302.40
  4. Step 4: Simplify right side
    6,686.72x = 23,094,545.54
  5. Step 5: Solve for x
    x = 23,094,545.54/6,686.72
  6. Step 6: Final answer
    x = 3,453.79

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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.