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Finding the Fourth Proportional to 7,815.18, 10,782.81 and 5,022.30

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Solution

The fourth proportional to 7,815.18, 10,782.81 and 5,022.30 is: 6,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.18 : 10,782.81 = 5,022.30 : x
  2. Step 2: Convert to fraction form
    7,815.18/10,782.81 = 5,022.30/x
  3. Step 3: Cross multiply
    7,815.18x = 10,782.81 × 5,022.30
  4. Step 4: Simplify right side
    7,815.18x = 54,154,506.66
  5. Step 5: Solve for x
    x = 54,154,506.66/7,815.18
  6. Step 6: Final answer
    x = 6,929.40

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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.