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Finding the Fourth Proportional to 10,504.82, 15,760.86 and 4,665.52

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Solution

The fourth proportional to 10,504.82, 15,760.86 and 4,665.52 is: 6,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.82 : 15,760.86 = 4,665.52 : x
  2. Step 2: Convert to fraction form
    10,504.82/15,760.86 = 4,665.52/x
  3. Step 3: Cross multiply
    10,504.82x = 15,760.86 × 4,665.52
  4. Step 4: Simplify right side
    10,504.82x = 73,532,607.55
  5. Step 5: Solve for x
    x = 73,532,607.55/10,504.82
  6. Step 6: Final answer
    x = 6,999.89

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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.