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Finding the Fourth Proportional to 8,533.12, 12,725.24 and 7,589.20

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Solution

The fourth proportional to 8,533.12, 12,725.24 and 7,589.20 is: 11,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.12 : 12,725.24 = 7,589.20 : x
  2. Step 2: Convert to fraction form
    8,533.12/12,725.24 = 7,589.20/x
  3. Step 3: Cross multiply
    8,533.12x = 12,725.24 × 7,589.20
  4. Step 4: Simplify right side
    8,533.12x = 96,574,391.41
  5. Step 5: Solve for x
    x = 96,574,391.41/8,533.12
  6. Step 6: Final answer
    x = 11,317.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.