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Finding the Fourth Proportional to 10,460.55, 15,689.60 and 3,884.97

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Solution

The fourth proportional to 10,460.55, 15,689.60 and 3,884.97 is: 5,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.55 : 15,689.60 = 3,884.97 : x
  2. Step 2: Convert to fraction form
    10,460.55/15,689.60 = 3,884.97/x
  3. Step 3: Cross multiply
    10,460.55x = 15,689.60 × 3,884.97
  4. Step 4: Simplify right side
    10,460.55x = 60,953,625.31
  5. Step 5: Solve for x
    x = 60,953,625.31/10,460.55
  6. Step 6: Final answer
    x = 5,827.00

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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.