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Finding the Fourth Proportional to 7,582.52, 10,459.88 and 5,220.56

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Solution

The fourth proportional to 7,582.52, 10,459.88 and 5,220.56 is: 7,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.52 : 10,459.88 = 5,220.56 : x
  2. Step 2: Convert to fraction form
    7,582.52/10,459.88 = 5,220.56/x
  3. Step 3: Cross multiply
    7,582.52x = 10,459.88 × 5,220.56
  4. Step 4: Simplify right side
    7,582.52x = 54,606,431.13
  5. Step 5: Solve for x
    x = 54,606,431.13/7,582.52
  6. Step 6: Final answer
    x = 7,201.62

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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.