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Finding the Fourth Proportional to 10,124.87, 13,970.21 and 7,440.30

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Solution

The fourth proportional to 10,124.87, 13,970.21 and 7,440.30 is: 10,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.87 : 13,970.21 = 7,440.30 : x
  2. Step 2: Convert to fraction form
    10,124.87/13,970.21 = 7,440.30/x
  3. Step 3: Cross multiply
    10,124.87x = 13,970.21 × 7,440.30
  4. Step 4: Simplify right side
    10,124.87x = 103,942,516.26
  5. Step 5: Solve for x
    x = 103,942,516.26/10,124.87
  6. Step 6: Final answer
    x = 10,266.06

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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.