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Finding the Fourth Proportional to 5,162.10, 7,776.06 and 4,713.78

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Solution

The fourth proportional to 5,162.10, 7,776.06 and 4,713.78 is: 7,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.10 : 7,776.06 = 4,713.78 : x
  2. Step 2: Convert to fraction form
    5,162.10/7,776.06 = 4,713.78/x
  3. Step 3: Cross multiply
    5,162.10x = 7,776.06 × 4,713.78
  4. Step 4: Simplify right side
    5,162.10x = 36,654,636.11
  5. Step 5: Solve for x
    x = 36,654,636.11/5,162.10
  6. Step 6: Final answer
    x = 7,100.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.