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Finding the Fourth Proportional to 10,615.84, 15,923.49 and 5,073.10

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Solution

The fourth proportional to 10,615.84, 15,923.49 and 5,073.10 is: 7,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.84 : 15,923.49 = 5,073.10 : x
  2. Step 2: Convert to fraction form
    10,615.84/15,923.49 = 5,073.10/x
  3. Step 3: Cross multiply
    10,615.84x = 15,923.49 × 5,073.10
  4. Step 4: Simplify right side
    10,615.84x = 80,781,457.12
  5. Step 5: Solve for x
    x = 80,781,457.12/10,615.84
  6. Step 6: Final answer
    x = 7,609.52

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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.