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Finding the Fourth Proportional to 8,355.68, 11,530.34 and 4,578.10

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Solution

The fourth proportional to 8,355.68, 11,530.34 and 4,578.10 is: 6,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.68 : 11,530.34 = 4,578.10 : x
  2. Step 2: Convert to fraction form
    8,355.68/11,530.34 = 4,578.10/x
  3. Step 3: Cross multiply
    8,355.68x = 11,530.34 × 4,578.10
  4. Step 4: Simplify right side
    8,355.68x = 52,786,997.84
  5. Step 5: Solve for x
    x = 52,786,997.84/8,355.68
  6. Step 6: Final answer
    x = 6,317.50

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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.