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Finding the Fourth Proportional to 10,561.48, 15,842.04 and 3,165.82

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Solution

The fourth proportional to 10,561.48, 15,842.04 and 3,165.82 is: 4,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.48 : 15,842.04 = 3,165.82 : x
  2. Step 2: Convert to fraction form
    10,561.48/15,842.04 = 3,165.82/x
  3. Step 3: Cross multiply
    10,561.48x = 15,842.04 × 3,165.82
  4. Step 4: Simplify right side
    10,561.48x = 50,153,047.07
  5. Step 5: Solve for x
    x = 50,153,047.07/10,561.48
  6. Step 6: Final answer
    x = 4,748.68

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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.