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Finding the Fourth Proportional to 10,958.36, 16,434.16 and 7,210

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Solution

The fourth proportional to 10,958.36, 16,434.16 and 7,210 is: 10,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.36 : 16,434.16 = 7,210 : x
  2. Step 2: Convert to fraction form
    10,958.36/16,434.16 = 7,210/x
  3. Step 3: Cross multiply
    10,958.36x = 16,434.16 × 7,210
  4. Step 4: Simplify right side
    10,958.36x = 118,490,293.60
  5. Step 5: Solve for x
    x = 118,490,293.60/10,958.36
  6. Step 6: Final answer
    x = 10,812.78

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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.