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Finding the Fourth Proportional to 7,772.96, 10,726.72 and 4,788.04

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Solution

The fourth proportional to 7,772.96, 10,726.72 and 4,788.04 is: 6,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.96 : 10,726.72 = 4,788.04 : x
  2. Step 2: Convert to fraction form
    7,772.96/10,726.72 = 4,788.04/x
  3. Step 3: Cross multiply
    7,772.96x = 10,726.72 × 4,788.04
  4. Step 4: Simplify right side
    7,772.96x = 51,359,964.43
  5. Step 5: Solve for x
    x = 51,359,964.43/7,772.96
  6. Step 6: Final answer
    x = 6,607.52

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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.