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Finding the Fourth Proportional to 7,398.63, 10,214.24 and 5,133.33

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Solution

The fourth proportional to 7,398.63, 10,214.24 and 5,133.33 is: 7,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.63 : 10,214.24 = 5,133.33 : x
  2. Step 2: Convert to fraction form
    7,398.63/10,214.24 = 5,133.33/x
  3. Step 3: Cross multiply
    7,398.63x = 10,214.24 × 5,133.33
  4. Step 4: Simplify right side
    7,398.63x = 52,433,038.95
  5. Step 5: Solve for x
    x = 52,433,038.95/7,398.63
  6. Step 6: Final answer
    x = 7,086.86

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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.