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Finding the Fourth Proportional to 10,838.37, 16,255.12 and 6,457.08

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Solution

The fourth proportional to 10,838.37, 16,255.12 and 6,457.08 is: 9,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.37 : 16,255.12 = 6,457.08 : x
  2. Step 2: Convert to fraction form
    10,838.37/16,255.12 = 6,457.08/x
  3. Step 3: Cross multiply
    10,838.37x = 16,255.12 × 6,457.08
  4. Step 4: Simplify right side
    10,838.37x = 104,960,610.25
  5. Step 5: Solve for x
    x = 104,960,610.25/10,838.37
  6. Step 6: Final answer
    x = 9,684.17

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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.