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Finding the Fourth Proportional to 10,703.76, 14,776.92 and 7,173

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Solution

The fourth proportional to 10,703.76, 14,776.92 and 7,173 is: 9,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.76 : 14,776.92 = 7,173 : x
  2. Step 2: Convert to fraction form
    10,703.76/14,776.92 = 7,173/x
  3. Step 3: Cross multiply
    10,703.76x = 14,776.92 × 7,173
  4. Step 4: Simplify right side
    10,703.76x = 105,994,847.16
  5. Step 5: Solve for x
    x = 105,994,847.16/10,703.76
  6. Step 6: Final answer
    x = 9,902.58

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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.