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Finding the Fourth Proportional to 8,364.60, 11,543.27 and 4,588.13

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Solution

The fourth proportional to 8,364.60, 11,543.27 and 4,588.13 is: 6,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.60 : 11,543.27 = 4,588.13 : x
  2. Step 2: Convert to fraction form
    8,364.60/11,543.27 = 4,588.13/x
  3. Step 3: Cross multiply
    8,364.60x = 11,543.27 × 4,588.13
  4. Step 4: Simplify right side
    8,364.60x = 52,962,023.39
  5. Step 5: Solve for x
    x = 52,962,023.39/8,364.60
  6. Step 6: Final answer
    x = 6,331.69

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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.