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Finding the Fourth Proportional to 7,010.52, 9,675.63 and 4,216.02

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Solution

The fourth proportional to 7,010.52, 9,675.63 and 4,216.02 is: 5,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.52 : 9,675.63 = 4,216.02 : x
  2. Step 2: Convert to fraction form
    7,010.52/9,675.63 = 4,216.02/x
  3. Step 3: Cross multiply
    7,010.52x = 9,675.63 × 4,216.02
  4. Step 4: Simplify right side
    7,010.52x = 40,792,649.59
  5. Step 5: Solve for x
    x = 40,792,649.59/7,010.52
  6. Step 6: Final answer
    x = 5,818.78

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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.