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Finding the Fourth Proportional to 10,433.68, 15,646.37 and 6,054.21

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Solution

The fourth proportional to 10,433.68, 15,646.37 and 6,054.21 is: 9,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.68 : 15,646.37 = 6,054.21 : x
  2. Step 2: Convert to fraction form
    10,433.68/15,646.37 = 6,054.21/x
  3. Step 3: Cross multiply
    10,433.68x = 15,646.37 × 6,054.21
  4. Step 4: Simplify right side
    10,433.68x = 94,726,379.45
  5. Step 5: Solve for x
    x = 94,726,379.45/10,433.68
  6. Step 6: Final answer
    x = 9,078.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.