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Finding the Fourth Proportional to 7,957.84, 10,979.94 and 5,564.83

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Solution

The fourth proportional to 7,957.84, 10,979.94 and 5,564.83 is: 7,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.84 : 10,979.94 = 5,564.83 : x
  2. Step 2: Convert to fraction form
    7,957.84/10,979.94 = 5,564.83/x
  3. Step 3: Cross multiply
    7,957.84x = 10,979.94 × 5,564.83
  4. Step 4: Simplify right side
    7,957.84x = 61,101,499.51
  5. Step 5: Solve for x
    x = 61,101,499.51/7,957.84
  6. Step 6: Final answer
    x = 7,678.15

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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.