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Finding the Fourth Proportional to 7,231.81, 9,980.39 and 4,045.40

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Solution

The fourth proportional to 7,231.81, 9,980.39 and 4,045.40 is: 5,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.81 : 9,980.39 = 4,045.40 : x
  2. Step 2: Convert to fraction form
    7,231.81/9,980.39 = 4,045.40/x
  3. Step 3: Cross multiply
    7,231.81x = 9,980.39 × 4,045.40
  4. Step 4: Simplify right side
    7,231.81x = 40,374,669.71
  5. Step 5: Solve for x
    x = 40,374,669.71/7,231.81
  6. Step 6: Final answer
    x = 5,582.93

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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.