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Finding the Fourth Proportional to 10,513.80, 14,512.02 and 7,370.76

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Solution

The fourth proportional to 10,513.80, 14,512.02 and 7,370.76 is: 10,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.80 : 14,512.02 = 7,370.76 : x
  2. Step 2: Convert to fraction form
    10,513.80/14,512.02 = 7,370.76/x
  3. Step 3: Cross multiply
    10,513.80x = 14,512.02 × 7,370.76
  4. Step 4: Simplify right side
    10,513.80x = 106,964,616.54
  5. Step 5: Solve for x
    x = 106,964,616.54/10,513.80
  6. Step 6: Final answer
    x = 10,173.74

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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.