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Finding the Fourth Proportional to 8,358.84, 11,539.50 and 5,711.16

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Solution

The fourth proportional to 8,358.84, 11,539.50 and 5,711.16 is: 7,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.84 : 11,539.50 = 5,711.16 : x
  2. Step 2: Convert to fraction form
    8,358.84/11,539.50 = 5,711.16/x
  3. Step 3: Cross multiply
    8,358.84x = 11,539.50 × 5,711.16
  4. Step 4: Simplify right side
    8,358.84x = 65,903,930.82
  5. Step 5: Solve for x
    x = 65,903,930.82/8,358.84
  6. Step 6: Final answer
    x = 7,884.34

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1.5x scale

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.