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Finding the Fourth Proportional to 8,302.15, 11,432.47 and 7,417.63

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Solution

The fourth proportional to 8,302.15, 11,432.47 and 7,417.63 is: 10,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.15 : 11,432.47 = 7,417.63 : x
  2. Step 2: Convert to fraction form
    8,302.15/11,432.47 = 7,417.63/x
  3. Step 3: Cross multiply
    8,302.15x = 11,432.47 × 7,417.63
  4. Step 4: Simplify right side
    8,302.15x = 84,801,756.93
  5. Step 5: Solve for x
    x = 84,801,756.93/8,302.15
  6. Step 6: Final answer
    x = 10,214.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.