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Finding the Fourth Proportional to 7,641.12, 10,533.48 and 5,960.64

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Solution

The fourth proportional to 7,641.12, 10,533.48 and 5,960.64 is: 8,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.12 : 10,533.48 = 5,960.64 : x
  2. Step 2: Convert to fraction form
    7,641.12/10,533.48 = 5,960.64/x
  3. Step 3: Cross multiply
    7,641.12x = 10,533.48 × 5,960.64
  4. Step 4: Simplify right side
    7,641.12x = 62,786,282.23
  5. Step 5: Solve for x
    x = 62,786,282.23/7,641.12
  6. Step 6: Final answer
    x = 8,216.90

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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.