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Finding the Fourth Proportional to 8,846.74, 13,263.63 and 7,628.50

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Solution

The fourth proportional to 8,846.74, 13,263.63 and 7,628.50 is: 11,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.74 : 13,263.63 = 7,628.50 : x
  2. Step 2: Convert to fraction form
    8,846.74/13,263.63 = 7,628.50/x
  3. Step 3: Cross multiply
    8,846.74x = 13,263.63 × 7,628.50
  4. Step 4: Simplify right side
    8,846.74x = 101,181,601.46
  5. Step 5: Solve for x
    x = 101,181,601.46/8,846.74
  6. Step 6: Final answer
    x = 11,437.16

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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.