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Finding the Fourth Proportional to 7,925.82, 10,922.58 and 5,683.81

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Solution

The fourth proportional to 7,925.82, 10,922.58 and 5,683.81 is: 7,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.82 : 10,922.58 = 5,683.81 : x
  2. Step 2: Convert to fraction form
    7,925.82/10,922.58 = 5,683.81/x
  3. Step 3: Cross multiply
    7,925.82x = 10,922.58 × 5,683.81
  4. Step 4: Simplify right side
    7,925.82x = 62,081,871.22
  5. Step 5: Solve for x
    x = 62,081,871.22/7,925.82
  6. Step 6: Final answer
    x = 7,832.86

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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.