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Finding the Fourth Proportional to 6,993.60, 10,487.74 and 2,312.20

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Solution

The fourth proportional to 6,993.60, 10,487.74 and 2,312.20 is: 3,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.60 : 10,487.74 = 2,312.20 : x
  2. Step 2: Convert to fraction form
    6,993.60/10,487.74 = 2,312.20/x
  3. Step 3: Cross multiply
    6,993.60x = 10,487.74 × 2,312.20
  4. Step 4: Simplify right side
    6,993.60x = 24,249,752.43
  5. Step 5: Solve for x
    x = 24,249,752.43/6,993.60
  6. Step 6: Final answer
    x = 3,467.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.