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Finding the Fourth Proportional to 10,780.66, 14,878.23 and 6,065.85

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Solution

The fourth proportional to 10,780.66, 14,878.23 and 6,065.85 is: 8,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.66 : 14,878.23 = 6,065.85 : x
  2. Step 2: Convert to fraction form
    10,780.66/14,878.23 = 6,065.85/x
  3. Step 3: Cross multiply
    10,780.66x = 14,878.23 × 6,065.85
  4. Step 4: Simplify right side
    10,780.66x = 90,249,111.45
  5. Step 5: Solve for x
    x = 90,249,111.45/10,780.66
  6. Step 6: Final answer
    x = 8,371.39

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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.