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Finding the Fourth Proportional to 7,571.84, 10,443.52 and 5,214.72

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Solution

The fourth proportional to 7,571.84, 10,443.52 and 5,214.72 is: 7,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.84 : 10,443.52 = 5,214.72 : x
  2. Step 2: Convert to fraction form
    7,571.84/10,443.52 = 5,214.72/x
  3. Step 3: Cross multiply
    7,571.84x = 10,443.52 × 5,214.72
  4. Step 4: Simplify right side
    7,571.84x = 54,460,032.61
  5. Step 5: Solve for x
    x = 54,460,032.61/7,571.84
  6. Step 6: Final answer
    x = 7,192.44

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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.