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Finding the Fourth Proportional to 8,642.48, 12,963.30 and 2,402.46

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Solution

The fourth proportional to 8,642.48, 12,963.30 and 2,402.46 is: 3,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.48 : 12,963.30 = 2,402.46 : x
  2. Step 2: Convert to fraction form
    8,642.48/12,963.30 = 2,402.46/x
  3. Step 3: Cross multiply
    8,642.48x = 12,963.30 × 2,402.46
  4. Step 4: Simplify right side
    8,642.48x = 31,143,809.72
  5. Step 5: Solve for x
    x = 31,143,809.72/8,642.48
  6. Step 6: Final answer
    x = 3,603.57

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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.