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Finding the Fourth Proportional to 10,443.52, 15,667.98 and 4,601.80

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Solution

The fourth proportional to 10,443.52, 15,667.98 and 4,601.80 is: 6,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.52 : 15,667.98 = 4,601.80 : x
  2. Step 2: Convert to fraction form
    10,443.52/15,667.98 = 4,601.80/x
  3. Step 3: Cross multiply
    10,443.52x = 15,667.98 × 4,601.80
  4. Step 4: Simplify right side
    10,443.52x = 72,100,910.36
  5. Step 5: Solve for x
    x = 72,100,910.36/10,443.52
  6. Step 6: Final answer
    x = 6,903.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.