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Finding the Fourth Proportional to 6,996.48, 10,509.30 and 5,902.98

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Solution

The fourth proportional to 6,996.48, 10,509.30 and 5,902.98 is: 8,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.48 : 10,509.30 = 5,902.98 : x
  2. Step 2: Convert to fraction form
    6,996.48/10,509.30 = 5,902.98/x
  3. Step 3: Cross multiply
    6,996.48x = 10,509.30 × 5,902.98
  4. Step 4: Simplify right side
    6,996.48x = 62,036,187.71
  5. Step 5: Solve for x
    x = 62,036,187.71/6,996.48
  6. Step 6: Final answer
    x = 8,866.77

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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.