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Finding the Fourth Proportional to 7,920.24, 10,930.62 and 4,384.14

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Solution

The fourth proportional to 7,920.24, 10,930.62 and 4,384.14 is: 6,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.24 : 10,930.62 = 4,384.14 : x
  2. Step 2: Convert to fraction form
    7,920.24/10,930.62 = 4,384.14/x
  3. Step 3: Cross multiply
    7,920.24x = 10,930.62 × 4,384.14
  4. Step 4: Simplify right side
    7,920.24x = 47,921,368.37
  5. Step 5: Solve for x
    x = 47,921,368.37/7,920.24
  6. Step 6: Final answer
    x = 6,050.49

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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.