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Finding the Fourth Proportional to 10,518.66, 15,776.13 and 3,497.97

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Solution

The fourth proportional to 10,518.66, 15,776.13 and 3,497.97 is: 5,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.66 : 15,776.13 = 3,497.97 : x
  2. Step 2: Convert to fraction form
    10,518.66/15,776.13 = 3,497.97/x
  3. Step 3: Cross multiply
    10,518.66x = 15,776.13 × 3,497.97
  4. Step 4: Simplify right side
    10,518.66x = 55,184,429.46
  5. Step 5: Solve for x
    x = 55,184,429.46/10,518.66
  6. Step 6: Final answer
    x = 5,246.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.