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Finding the Fourth Proportional to 10,304.86, 15,457.38 and 3,641.53

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Solution

The fourth proportional to 10,304.86, 15,457.38 and 3,641.53 is: 5,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.86 : 15,457.38 = 3,641.53 : x
  2. Step 2: Convert to fraction form
    10,304.86/15,457.38 = 3,641.53/x
  3. Step 3: Cross multiply
    10,304.86x = 15,457.38 × 3,641.53
  4. Step 4: Simplify right side
    10,304.86x = 56,288,512.99
  5. Step 5: Solve for x
    x = 56,288,512.99/10,304.86
  6. Step 6: Final answer
    x = 5,462.33

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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.