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Finding the Fourth Proportional to 10,750.86, 14,836.16 and 6,035.13

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Solution

The fourth proportional to 10,750.86, 14,836.16 and 6,035.13 is: 8,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.86 : 14,836.16 = 6,035.13 : x
  2. Step 2: Convert to fraction form
    10,750.86/14,836.16 = 6,035.13/x
  3. Step 3: Cross multiply
    10,750.86x = 14,836.16 × 6,035.13
  4. Step 4: Simplify right side
    10,750.86x = 89,538,169.39
  5. Step 5: Solve for x
    x = 89,538,169.39/10,750.86
  6. Step 6: Final answer
    x = 8,328.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.