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Finding the Fourth Proportional to 8,160.12, 11,261.25 and 4,526.25

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Solution

The fourth proportional to 8,160.12, 11,261.25 and 4,526.25 is: 6,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.12 : 11,261.25 = 4,526.25 : x
  2. Step 2: Convert to fraction form
    8,160.12/11,261.25 = 4,526.25/x
  3. Step 3: Cross multiply
    8,160.12x = 11,261.25 × 4,526.25
  4. Step 4: Simplify right side
    8,160.12x = 50,971,232.81
  5. Step 5: Solve for x
    x = 50,971,232.81/8,160.12
  6. Step 6: Final answer
    x = 6,246.38

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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.