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Finding the Fourth Proportional to 7,320.42, 10,980.36 and 5,877

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Solution

The fourth proportional to 7,320.42, 10,980.36 and 5,877 is: 8,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320.42 : 10,980.36 = 5,877 : x
  2. Step 2: Convert to fraction form
    7,320.42/10,980.36 = 5,877/x
  3. Step 3: Cross multiply
    7,320.42x = 10,980.36 × 5,877
  4. Step 4: Simplify right side
    7,320.42x = 64,531,575.72
  5. Step 5: Solve for x
    x = 64,531,575.72/7,320.42
  6. Step 6: Final answer
    x = 8,815.28

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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.