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Finding the Fourth Proportional to 7,800.15, 11,678.76 and 5,920.41

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Solution

The fourth proportional to 7,800.15, 11,678.76 and 5,920.41 is: 8,864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.15 : 11,678.76 = 5,920.41 : x
  2. Step 2: Convert to fraction form
    7,800.15/11,678.76 = 5,920.41/x
  3. Step 3: Cross multiply
    7,800.15x = 11,678.76 × 5,920.41
  4. Step 4: Simplify right side
    7,800.15x = 69,143,047.49
  5. Step 5: Solve for x
    x = 69,143,047.49/7,800.15
  6. Step 6: Final answer
    x = 8,864.32

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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.