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Finding the Fourth Proportional to 10,909.84, 15,055.44 and 6,193.82

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Solution

The fourth proportional to 10,909.84, 15,055.44 and 6,193.82 is: 8,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.84 : 15,055.44 = 6,193.82 : x
  2. Step 2: Convert to fraction form
    10,909.84/15,055.44 = 6,193.82/x
  3. Step 3: Cross multiply
    10,909.84x = 15,055.44 × 6,193.82
  4. Step 4: Simplify right side
    10,909.84x = 93,250,667.37
  5. Step 5: Solve for x
    x = 93,250,667.37/10,909.84
  6. Step 6: Final answer
    x = 8,547.39

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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.