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Finding the Fourth Proportional to 11,471.22, 15,829.98 and 6,435.02

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Solution

The fourth proportional to 11,471.22, 15,829.98 and 6,435.02 is: 8,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.22 : 15,829.98 = 6,435.02 : x
  2. Step 2: Convert to fraction form
    11,471.22/15,829.98 = 6,435.02/x
  3. Step 3: Cross multiply
    11,471.22x = 15,829.98 × 6,435.02
  4. Step 4: Simplify right side
    11,471.22x = 101,866,237.90
  5. Step 5: Solve for x
    x = 101,866,237.90/11,471.22
  6. Step 6: Final answer
    x = 8,880.16

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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.