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Finding the Fourth Proportional to 10,750.09, 14,836.02 and 6,274.13

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Solution

The fourth proportional to 10,750.09, 14,836.02 and 6,274.13 is: 8,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.09 : 14,836.02 = 6,274.13 : x
  2. Step 2: Convert to fraction form
    10,750.09/14,836.02 = 6,274.13/x
  3. Step 3: Cross multiply
    10,750.09x = 14,836.02 × 6,274.13
  4. Step 4: Simplify right side
    10,750.09x = 93,083,118.16
  5. Step 5: Solve for x
    x = 93,083,118.16/10,750.09
  6. Step 6: Final answer
    x = 8,658.82

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