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Finding the Fourth Proportional to 10,780.94, 14,877.67 and 6,065.22

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Solution

The fourth proportional to 10,780.94, 14,877.67 and 6,065.22 is: 8,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.94 : 14,877.67 = 6,065.22 : x
  2. Step 2: Convert to fraction form
    10,780.94/14,877.67 = 6,065.22/x
  3. Step 3: Cross multiply
    10,780.94x = 14,877.67 × 6,065.22
  4. Step 4: Simplify right side
    10,780.94x = 90,236,368.85
  5. Step 5: Solve for x
    x = 90,236,368.85/10,780.94
  6. Step 6: Final answer
    x = 8,369.99

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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.