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Finding the Fourth Proportional to 7,533.95, 11,288.46 and 5,338.76

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Solution

The fourth proportional to 7,533.95, 11,288.46 and 5,338.76 is: 7,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.95 : 11,288.46 = 5,338.76 : x
  2. Step 2: Convert to fraction form
    7,533.95/11,288.46 = 5,338.76/x
  3. Step 3: Cross multiply
    7,533.95x = 11,288.46 × 5,338.76
  4. Step 4: Simplify right side
    7,533.95x = 60,266,378.71
  5. Step 5: Solve for x
    x = 60,266,378.71/7,533.95
  6. Step 6: Final answer
    x = 7,999.31

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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.