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Finding the Fourth Proportional to 7,582.56, 11,367.60 and 2,901.60

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Solution

The fourth proportional to 7,582.56, 11,367.60 and 2,901.60 is: 4,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.56 : 11,367.60 = 2,901.60 : x
  2. Step 2: Convert to fraction form
    7,582.56/11,367.60 = 2,901.60/x
  3. Step 3: Cross multiply
    7,582.56x = 11,367.60 × 2,901.60
  4. Step 4: Simplify right side
    7,582.56x = 32,984,228.16
  5. Step 5: Solve for x
    x = 32,984,228.16/7,582.56
  6. Step 6: Final answer
    x = 4,350.01

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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.