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Finding the Fourth Proportional to 10,898.64, 16,349.04 and 3,501.24

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Solution

The fourth proportional to 10,898.64, 16,349.04 and 3,501.24 is: 5,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.64 : 16,349.04 = 3,501.24 : x
  2. Step 2: Convert to fraction form
    10,898.64/16,349.04 = 3,501.24/x
  3. Step 3: Cross multiply
    10,898.64x = 16,349.04 × 3,501.24
  4. Step 4: Simplify right side
    10,898.64x = 57,241,912.81
  5. Step 5: Solve for x
    x = 57,241,912.81/10,898.64
  6. Step 6: Final answer
    x = 5,252.21

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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.