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Finding the Fourth Proportional to 7,703.10, 10,633.68 and 5,186.88

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Solution

The fourth proportional to 7,703.10, 10,633.68 and 5,186.88 is: 7,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.10 : 10,633.68 = 5,186.88 : x
  2. Step 2: Convert to fraction form
    7,703.10/10,633.68 = 5,186.88/x
  3. Step 3: Cross multiply
    7,703.10x = 10,633.68 × 5,186.88
  4. Step 4: Simplify right side
    7,703.10x = 55,155,622.12
  5. Step 5: Solve for x
    x = 55,155,622.12/7,703.10
  6. Step 6: Final answer
    x = 7,160.19

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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.