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Finding the Fourth Proportional to 7,772.40, 11,661.64 and 4,483.76

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Solution

The fourth proportional to 7,772.40, 11,661.64 and 4,483.76 is: 6,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.40 : 11,661.64 = 4,483.76 : x
  2. Step 2: Convert to fraction form
    7,772.40/11,661.64 = 4,483.76/x
  3. Step 3: Cross multiply
    7,772.40x = 11,661.64 × 4,483.76
  4. Step 4: Simplify right side
    7,772.40x = 52,287,994.97
  5. Step 5: Solve for x
    x = 52,287,994.97/7,772.40
  6. Step 6: Final answer
    x = 6,727.39

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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.