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Finding the Fourth Proportional to 7,582.86, 10,459.59 and 5,220.90

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Solution

The fourth proportional to 7,582.86, 10,459.59 and 5,220.90 is: 7,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.86 : 10,459.59 = 5,220.90 : x
  2. Step 2: Convert to fraction form
    7,582.86/10,459.59 = 5,220.90/x
  3. Step 3: Cross multiply
    7,582.86x = 10,459.59 × 5,220.90
  4. Step 4: Simplify right side
    7,582.86x = 54,608,473.43
  5. Step 5: Solve for x
    x = 54,608,473.43/7,582.86
  6. Step 6: Final answer
    x = 7,201.57

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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.