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Finding the Fourth Proportional to 8,499.23, 12,738.02 and 4,803.52

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Solution

The fourth proportional to 8,499.23, 12,738.02 and 4,803.52 is: 7,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.23 : 12,738.02 = 4,803.52 : x
  2. Step 2: Convert to fraction form
    8,499.23/12,738.02 = 4,803.52/x
  3. Step 3: Cross multiply
    8,499.23x = 12,738.02 × 4,803.52
  4. Step 4: Simplify right side
    8,499.23x = 61,187,277.97
  5. Step 5: Solve for x
    x = 61,187,277.97/8,499.23
  6. Step 6: Final answer
    x = 7,199.16

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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.