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Finding the Fourth Proportional to 8,507.52, 11,741.76 and 7,109.76

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Solution

The fourth proportional to 8,507.52, 11,741.76 and 7,109.76 is: 9,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.52 : 11,741.76 = 7,109.76 : x
  2. Step 2: Convert to fraction form
    8,507.52/11,741.76 = 7,109.76/x
  3. Step 3: Cross multiply
    8,507.52x = 11,741.76 × 7,109.76
  4. Step 4: Simplify right side
    8,507.52x = 83,481,095.58
  5. Step 5: Solve for x
    x = 83,481,095.58/8,507.52
  6. Step 6: Final answer
    x = 9,812.62

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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.