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Finding the Fourth Proportional to 7,776.30, 10,731.32 and 4,419.14

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Solution

The fourth proportional to 7,776.30, 10,731.32 and 4,419.14 is: 6,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.30 : 10,731.32 = 4,419.14 : x
  2. Step 2: Convert to fraction form
    7,776.30/10,731.32 = 4,419.14/x
  3. Step 3: Cross multiply
    7,776.30x = 10,731.32 × 4,419.14
  4. Step 4: Simplify right side
    7,776.30x = 47,423,206.65
  5. Step 5: Solve for x
    x = 47,423,206.65/7,776.30
  6. Step 6: Final answer
    x = 6,098.43

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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.