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Finding the Fourth Proportional to 7,006.40, 10,493.04 and 5,890.40

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Solution

The fourth proportional to 7,006.40, 10,493.04 and 5,890.40 is: 8,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.40 : 10,493.04 = 5,890.40 : x
  2. Step 2: Convert to fraction form
    7,006.40/10,493.04 = 5,890.40/x
  3. Step 3: Cross multiply
    7,006.40x = 10,493.04 × 5,890.40
  4. Step 4: Simplify right side
    7,006.40x = 61,808,202.82
  5. Step 5: Solve for x
    x = 61,808,202.82/7,006.40
  6. Step 6: Final answer
    x = 8,821.68

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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.