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Finding the Fourth Proportional to 7,707.13, 11,562.51 and 2,513

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Solution

The fourth proportional to 7,707.13, 11,562.51 and 2,513 is: 3,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.13 : 11,562.51 = 2,513 : x
  2. Step 2: Convert to fraction form
    7,707.13/11,562.51 = 2,513/x
  3. Step 3: Cross multiply
    7,707.13x = 11,562.51 × 2,513
  4. Step 4: Simplify right side
    7,707.13x = 29,056,587.63
  5. Step 5: Solve for x
    x = 29,056,587.63/7,707.13
  6. Step 6: Final answer
    x = 3,770.09

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Why These Related Problems?

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