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Finding the Fourth Proportional to 10,441.22, 15,643.88 and 6,482.75

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Solution

The fourth proportional to 10,441.22, 15,643.88 and 6,482.75 is: 9,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.22 : 15,643.88 = 6,482.75 : x
  2. Step 2: Convert to fraction form
    10,441.22/15,643.88 = 6,482.75/x
  3. Step 3: Cross multiply
    10,441.22x = 15,643.88 × 6,482.75
  4. Step 4: Simplify right side
    10,441.22x = 101,415,335.21
  5. Step 5: Solve for x
    x = 101,415,335.21/10,441.22
  6. Step 6: Final answer
    x = 9,712.98

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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.