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Finding the Fourth Proportional to 8,402.13, 11,593.94 and 4,864.86

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Solution

The fourth proportional to 8,402.13, 11,593.94 and 4,864.86 is: 6,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.13 : 11,593.94 = 4,864.86 : x
  2. Step 2: Convert to fraction form
    8,402.13/11,593.94 = 4,864.86/x
  3. Step 3: Cross multiply
    8,402.13x = 11,593.94 × 4,864.86
  4. Step 4: Simplify right side
    8,402.13x = 56,402,870.62
  5. Step 5: Solve for x
    x = 56,402,870.62/8,402.13
  6. Step 6: Final answer
    x = 6,712.93

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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.