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Finding the Fourth Proportional to 10,781.23, 14,878.07 and 6,065.51

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Solution

The fourth proportional to 10,781.23, 14,878.07 and 6,065.51 is: 8,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.23 : 14,878.07 = 6,065.51 : x
  2. Step 2: Convert to fraction form
    10,781.23/14,878.07 = 6,065.51/x
  3. Step 3: Cross multiply
    10,781.23x = 14,878.07 × 6,065.51
  4. Step 4: Simplify right side
    10,781.23x = 90,242,977.65
  5. Step 5: Solve for x
    x = 90,242,977.65/10,781.23
  6. Step 6: Final answer
    x = 8,370.38

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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.