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Finding the Fourth Proportional to 7,110.77, 9,812.76 and 4,127.11

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Solution

The fourth proportional to 7,110.77, 9,812.76 and 4,127.11 is: 5,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.77 : 9,812.76 = 4,127.11 : x
  2. Step 2: Convert to fraction form
    7,110.77/9,812.76 = 4,127.11/x
  3. Step 3: Cross multiply
    7,110.77x = 9,812.76 × 4,127.11
  4. Step 4: Simplify right side
    7,110.77x = 40,498,339.92
  5. Step 5: Solve for x
    x = 40,498,339.92/7,110.77
  6. Step 6: Final answer
    x = 5,695.35

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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.