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Finding the Fourth Proportional to 10,593.50, 14,619.35 and 5,878.22

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Solution

The fourth proportional to 10,593.50, 14,619.35 and 5,878.22 is: 8,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.50 : 14,619.35 = 5,878.22 : x
  2. Step 2: Convert to fraction form
    10,593.50/14,619.35 = 5,878.22/x
  3. Step 3: Cross multiply
    10,593.50x = 14,619.35 × 5,878.22
  4. Step 4: Simplify right side
    10,593.50x = 85,935,697.16
  5. Step 5: Solve for x
    x = 85,935,697.16/10,593.50
  6. Step 6: Final answer
    x = 8,112.12

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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.