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Finding the Fourth Proportional to 7,505.57, 11,256.65 and 2,826.08

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Solution

The fourth proportional to 7,505.57, 11,256.65 and 2,826.08 is: 4,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.57 : 11,256.65 = 2,826.08 : x
  2. Step 2: Convert to fraction form
    7,505.57/11,256.65 = 2,826.08/x
  3. Step 3: Cross multiply
    7,505.57x = 11,256.65 × 2,826.08
  4. Step 4: Simplify right side
    7,505.57x = 31,812,123.02
  5. Step 5: Solve for x
    x = 31,812,123.02/7,505.57
  6. Step 6: Final answer
    x = 4,238.47

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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.