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Finding the Fourth Proportional to 10,780.74, 14,877.90 and 6,065.02

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Solution

The fourth proportional to 10,780.74, 14,877.90 and 6,065.02 is: 8,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.74 : 14,877.90 = 6,065.02 : x
  2. Step 2: Convert to fraction form
    10,780.74/14,877.90 = 6,065.02/x
  3. Step 3: Cross multiply
    10,780.74x = 14,877.90 × 6,065.02
  4. Step 4: Simplify right side
    10,780.74x = 90,234,761.06
  5. Step 5: Solve for x
    x = 90,234,761.06/10,780.74
  6. Step 6: Final answer
    x = 8,370.00

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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.