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Finding the Fourth Proportional to 7,438.24, 10,264.40 and 4,294.24

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Solution

The fourth proportional to 7,438.24, 10,264.40 and 4,294.24 is: 5,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.24 : 10,264.40 = 4,294.24 : x
  2. Step 2: Convert to fraction form
    7,438.24/10,264.40 = 4,294.24/x
  3. Step 3: Cross multiply
    7,438.24x = 10,264.40 × 4,294.24
  4. Step 4: Simplify right side
    7,438.24x = 44,077,797.06
  5. Step 5: Solve for x
    x = 44,077,797.06/7,438.24
  6. Step 6: Final answer
    x = 5,925.84

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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.