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Finding the Fourth Proportional to 7,314.48, 10,969.64 and 2,384.55

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Solution

The fourth proportional to 7,314.48, 10,969.64 and 2,384.55 is: 3,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.48 : 10,969.64 = 2,384.55 : x
  2. Step 2: Convert to fraction form
    7,314.48/10,969.64 = 2,384.55/x
  3. Step 3: Cross multiply
    7,314.48x = 10,969.64 × 2,384.55
  4. Step 4: Simplify right side
    7,314.48x = 26,157,643.14
  5. Step 5: Solve for x
    x = 26,157,643.14/7,314.48
  6. Step 6: Final answer
    x = 3,576.15

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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.