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Finding the Fourth Proportional to 10,513.22, 14,508.18 and 5,797.49

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Solution

The fourth proportional to 10,513.22, 14,508.18 and 5,797.49 is: 8,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.22 : 14,508.18 = 5,797.49 : x
  2. Step 2: Convert to fraction form
    10,513.22/14,508.18 = 5,797.49/x
  3. Step 3: Cross multiply
    10,513.22x = 14,508.18 × 5,797.49
  4. Step 4: Simplify right side
    10,513.22x = 84,110,955.93
  5. Step 5: Solve for x
    x = 84,110,955.93/10,513.22
  6. Step 6: Final answer
    x = 8,000.50

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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.