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Finding the Fourth Proportional to 10,390.98, 15,578.27 and 5,457.93

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Solution

The fourth proportional to 10,390.98, 15,578.27 and 5,457.93 is: 8,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.98 : 15,578.27 = 5,457.93 : x
  2. Step 2: Convert to fraction form
    10,390.98/15,578.27 = 5,457.93/x
  3. Step 3: Cross multiply
    10,390.98x = 15,578.27 × 5,457.93
  4. Step 4: Simplify right side
    10,390.98x = 85,025,160.27
  5. Step 5: Solve for x
    x = 85,025,160.27/10,390.98
  6. Step 6: Final answer
    x = 8,182.59

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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.