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Finding the Fourth Proportional to 10,214.63, 15,327.98 and 5,534.52

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Solution

The fourth proportional to 10,214.63, 15,327.98 and 5,534.52 is: 8,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.63 : 15,327.98 = 5,534.52 : x
  2. Step 2: Convert to fraction form
    10,214.63/15,327.98 = 5,534.52/x
  3. Step 3: Cross multiply
    10,214.63x = 15,327.98 × 5,534.52
  4. Step 4: Simplify right side
    10,214.63x = 84,832,984.20
  5. Step 5: Solve for x
    x = 84,832,984.20/10,214.63
  6. Step 6: Final answer
    x = 8,305.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.