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Finding the Fourth Proportional to 7,933.76, 10,947.28 and 4,748.16

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Solution

The fourth proportional to 7,933.76, 10,947.28 and 4,748.16 is: 6,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.76 : 10,947.28 = 4,748.16 : x
  2. Step 2: Convert to fraction form
    7,933.76/10,947.28 = 4,748.16/x
  3. Step 3: Cross multiply
    7,933.76x = 10,947.28 × 4,748.16
  4. Step 4: Simplify right side
    7,933.76x = 51,979,437.00
  5. Step 5: Solve for x
    x = 51,979,437.00/7,933.76
  6. Step 6: Final answer
    x = 6,551.68

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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.