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Finding the Fourth Proportional to 10,582.50, 15,874.54 and 3,562.49

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Solution

The fourth proportional to 10,582.50, 15,874.54 and 3,562.49 is: 5,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.50 : 15,874.54 = 3,562.49 : x
  2. Step 2: Convert to fraction form
    10,582.50/15,874.54 = 3,562.49/x
  3. Step 3: Cross multiply
    10,582.50x = 15,874.54 × 3,562.49
  4. Step 4: Simplify right side
    10,582.50x = 56,552,890.00
  5. Step 5: Solve for x
    x = 56,552,890.00/10,582.50
  6. Step 6: Final answer
    x = 5,344.00

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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.