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Finding the Fourth Proportional to 7,436.14, 10,263.74 and 5,050.15

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Solution

The fourth proportional to 7,436.14, 10,263.74 and 5,050.15 is: 6,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.14 : 10,263.74 = 5,050.15 : x
  2. Step 2: Convert to fraction form
    7,436.14/10,263.74 = 5,050.15/x
  3. Step 3: Cross multiply
    7,436.14x = 10,263.74 × 5,050.15
  4. Step 4: Simplify right side
    7,436.14x = 51,833,452.02
  5. Step 5: Solve for x
    x = 51,833,452.02/7,436.14
  6. Step 6: Final answer
    x = 6,970.48

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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.