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Finding the Fourth Proportional to 10,902.81, 16,359.62 and 4,328.85

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Solution

The fourth proportional to 10,902.81, 16,359.62 and 4,328.85 is: 6,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.81 : 16,359.62 = 4,328.85 : x
  2. Step 2: Convert to fraction form
    10,902.81/16,359.62 = 4,328.85/x
  3. Step 3: Cross multiply
    10,902.81x = 16,359.62 × 4,328.85
  4. Step 4: Simplify right side
    10,902.81x = 70,818,319.39
  5. Step 5: Solve for x
    x = 70,818,319.39/10,902.81
  6. Step 6: Final answer
    x = 6,495.42

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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.