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Finding the Fourth Proportional to 10,583.86, 14,578.29 and 7,391.54

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Solution

The fourth proportional to 10,583.86, 14,578.29 and 7,391.54 is: 10,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.86 : 14,578.29 = 7,391.54 : x
  2. Step 2: Convert to fraction form
    10,583.86/14,578.29 = 7,391.54/x
  3. Step 3: Cross multiply
    10,583.86x = 14,578.29 × 7,391.54
  4. Step 4: Simplify right side
    10,583.86x = 107,756,013.67
  5. Step 5: Solve for x
    x = 107,756,013.67/10,583.86
  6. Step 6: Final answer
    x = 10,181.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.