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Finding the Fourth Proportional to 7,772.64, 11,663.68 and 3,155.52

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Solution

The fourth proportional to 7,772.64, 11,663.68 and 3,155.52 is: 4,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.64 : 11,663.68 = 3,155.52 : x
  2. Step 2: Convert to fraction form
    7,772.64/11,663.68 = 3,155.52/x
  3. Step 3: Cross multiply
    7,772.64x = 11,663.68 × 3,155.52
  4. Step 4: Simplify right side
    7,772.64x = 36,804,975.51
  5. Step 5: Solve for x
    x = 36,804,975.51/7,772.64
  6. Step 6: Final answer
    x = 4,735.20

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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.