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Finding the Fourth Proportional to 10,773.39, 14,865.93 and 6,293.88

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Solution

The fourth proportional to 10,773.39, 14,865.93 and 6,293.88 is: 8,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.39 : 14,865.93 = 6,293.88 : x
  2. Step 2: Convert to fraction form
    10,773.39/14,865.93 = 6,293.88/x
  3. Step 3: Cross multiply
    10,773.39x = 14,865.93 × 6,293.88
  4. Step 4: Simplify right side
    10,773.39x = 93,564,379.51
  5. Step 5: Solve for x
    x = 93,564,379.51/10,773.39
  6. Step 6: Final answer
    x = 8,684.77

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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.