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Finding the Fourth Proportional to 8,062.56, 12,096 and 4,602.24

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Solution

The fourth proportional to 8,062.56, 12,096 and 4,602.24 is: 6,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.56 : 12,096 = 4,602.24 : x
  2. Step 2: Convert to fraction form
    8,062.56/12,096 = 4,602.24/x
  3. Step 3: Cross multiply
    8,062.56x = 12,096 × 4,602.24
  4. Step 4: Simplify right side
    8,062.56x = 55,668,695.04
  5. Step 5: Solve for x
    x = 55,668,695.04/8,062.56
  6. Step 6: Final answer
    x = 6,904.59

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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.