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Finding the Fourth Proportional to 7,764.16, 10,719.12 and 5,116

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Solution

The fourth proportional to 7,764.16, 10,719.12 and 5,116 is: 7,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.16 : 10,719.12 = 5,116 : x
  2. Step 2: Convert to fraction form
    7,764.16/10,719.12 = 5,116/x
  3. Step 3: Cross multiply
    7,764.16x = 10,719.12 × 5,116
  4. Step 4: Simplify right side
    7,764.16x = 54,839,017.92
  5. Step 5: Solve for x
    x = 54,839,017.92/7,764.16
  6. Step 6: Final answer
    x = 7,063.10

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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.