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Finding the Fourth Proportional to 10,842.60, 16,264.46 and 3,052.02

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Solution

The fourth proportional to 10,842.60, 16,264.46 and 3,052.02 is: 4,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.60 : 16,264.46 = 3,052.02 : x
  2. Step 2: Convert to fraction form
    10,842.60/16,264.46 = 3,052.02/x
  3. Step 3: Cross multiply
    10,842.60x = 16,264.46 × 3,052.02
  4. Step 4: Simplify right side
    10,842.60x = 49,639,457.21
  5. Step 5: Solve for x
    x = 49,639,457.21/10,842.60
  6. Step 6: Final answer
    x = 4,578.19

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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.