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Finding the Fourth Proportional to 10,823.59, 14,939.05 and 6,348.78

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Solution

The fourth proportional to 10,823.59, 14,939.05 and 6,348.78 is: 8,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.59 : 14,939.05 = 6,348.78 : x
  2. Step 2: Convert to fraction form
    10,823.59/14,939.05 = 6,348.78/x
  3. Step 3: Cross multiply
    10,823.59x = 14,939.05 × 6,348.78
  4. Step 4: Simplify right side
    10,823.59x = 94,844,780.08
  5. Step 5: Solve for x
    x = 94,844,780.08/10,823.59
  6. Step 6: Final answer
    x = 8,762.78

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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.