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Finding the Fourth Proportional to 8,353.64, 11,523.30 and 7,507.96

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Solution

The fourth proportional to 8,353.64, 11,523.30 and 7,507.96 is: 10,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.64 : 11,523.30 = 7,507.96 : x
  2. Step 2: Convert to fraction form
    8,353.64/11,523.30 = 7,507.96/x
  3. Step 3: Cross multiply
    8,353.64x = 11,523.30 × 7,507.96
  4. Step 4: Simplify right side
    8,353.64x = 86,516,475.47
  5. Step 5: Solve for x
    x = 86,516,475.47/8,353.64
  6. Step 6: Final answer
    x = 10,356.74

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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.