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Finding the Fourth Proportional to 10,645.44, 15,968.16 and 2,854.05

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Solution

The fourth proportional to 10,645.44, 15,968.16 and 2,854.05 is: 4,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.44 : 15,968.16 = 2,854.05 : x
  2. Step 2: Convert to fraction form
    10,645.44/15,968.16 = 2,854.05/x
  3. Step 3: Cross multiply
    10,645.44x = 15,968.16 × 2,854.05
  4. Step 4: Simplify right side
    10,645.44x = 45,573,927.05
  5. Step 5: Solve for x
    x = 45,573,927.05/10,645.44
  6. Step 6: Final answer
    x = 4,281.08

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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.