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Finding the Fourth Proportional to 7,490.71, 10,337.26 and 4,133.64

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Solution

The fourth proportional to 7,490.71, 10,337.26 and 4,133.64 is: 5,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.71 : 10,337.26 = 4,133.64 : x
  2. Step 2: Convert to fraction form
    7,490.71/10,337.26 = 4,133.64/x
  3. Step 3: Cross multiply
    7,490.71x = 10,337.26 × 4,133.64
  4. Step 4: Simplify right side
    7,490.71x = 42,730,511.43
  5. Step 5: Solve for x
    x = 42,730,511.43/7,490.71
  6. Step 6: Final answer
    x = 5,704.47

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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.