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Finding the Fourth Proportional to 7,966.64, 10,994.94 and 4,822.82

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Solution

The fourth proportional to 7,966.64, 10,994.94 and 4,822.82 is: 6,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.64 : 10,994.94 = 4,822.82 : x
  2. Step 2: Convert to fraction form
    7,966.64/10,994.94 = 4,822.82/x
  3. Step 3: Cross multiply
    7,966.64x = 10,994.94 × 4,822.82
  4. Step 4: Simplify right side
    7,966.64x = 53,026,616.53
  5. Step 5: Solve for x
    x = 53,026,616.53/7,966.64
  6. Step 6: Final answer
    x = 6,656.08

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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.