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Finding the Fourth Proportional to 8,364.80, 11,543.58 and 4,588.34

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Solution

The fourth proportional to 8,364.80, 11,543.58 and 4,588.34 is: 6,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.80 : 11,543.58 = 4,588.34 : x
  2. Step 2: Convert to fraction form
    8,364.80/11,543.58 = 4,588.34/x
  3. Step 3: Cross multiply
    8,364.80x = 11,543.58 × 4,588.34
  4. Step 4: Simplify right side
    8,364.80x = 52,965,812.14
  5. Step 5: Solve for x
    x = 52,965,812.14/8,364.80
  6. Step 6: Final answer
    x = 6,331.99

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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.