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Finding the Fourth Proportional to 7,312.87, 10,969.31 and 3,420.01

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Solution

The fourth proportional to 7,312.87, 10,969.31 and 3,420.01 is: 5,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.87 : 10,969.31 = 3,420.01 : x
  2. Step 2: Convert to fraction form
    7,312.87/10,969.31 = 3,420.01/x
  3. Step 3: Cross multiply
    7,312.87x = 10,969.31 × 3,420.01
  4. Step 4: Simplify right side
    7,312.87x = 37,515,149.89
  5. Step 5: Solve for x
    x = 37,515,149.89/7,312.87
  6. Step 6: Final answer
    x = 5,130.02

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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.