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Finding the Fourth Proportional to 11,453.46, 15,804.78 and 6,417.02

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Solution

The fourth proportional to 11,453.46, 15,804.78 and 6,417.02 is: 8,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.46 : 15,804.78 = 6,417.02 : x
  2. Step 2: Convert to fraction form
    11,453.46/15,804.78 = 6,417.02/x
  3. Step 3: Cross multiply
    11,453.46x = 15,804.78 × 6,417.02
  4. Step 4: Simplify right side
    11,453.46x = 101,419,589.36
  5. Step 5: Solve for x
    x = 101,419,589.36/11,453.46
  6. Step 6: Final answer
    x = 8,854.93

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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.