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Finding the Fourth Proportional to 7,563.64, 11,345.46 and 2,298.69

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Solution

The fourth proportional to 7,563.64, 11,345.46 and 2,298.69 is: 3,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.64 : 11,345.46 = 2,298.69 : x
  2. Step 2: Convert to fraction form
    7,563.64/11,345.46 = 2,298.69/x
  3. Step 3: Cross multiply
    7,563.64x = 11,345.46 × 2,298.69
  4. Step 4: Simplify right side
    7,563.64x = 26,079,749.99
  5. Step 5: Solve for x
    x = 26,079,749.99/7,563.64
  6. Step 6: Final answer
    x = 3,448.04

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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.