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Finding the Fourth Proportional to 10,513.39, 14,508.18 and 5,797.68

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Solution

The fourth proportional to 10,513.39, 14,508.18 and 5,797.68 is: 8,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.39 : 14,508.18 = 5,797.68 : x
  2. Step 2: Convert to fraction form
    10,513.39/14,508.18 = 5,797.68/x
  3. Step 3: Cross multiply
    10,513.39x = 14,508.18 × 5,797.68
  4. Step 4: Simplify right side
    10,513.39x = 84,113,785.02
  5. Step 5: Solve for x
    x = 84,113,785.02/10,513.39
  6. Step 6: Final answer
    x = 8,000.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.