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Finding the Fourth Proportional to 10,603.54, 14,633.06 and 5,823.92

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Solution

The fourth proportional to 10,603.54, 14,633.06 and 5,823.92 is: 8,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.54 : 14,633.06 = 5,823.92 : x
  2. Step 2: Convert to fraction form
    10,603.54/14,633.06 = 5,823.92/x
  3. Step 3: Cross multiply
    10,603.54x = 14,633.06 × 5,823.92
  4. Step 4: Simplify right side
    10,603.54x = 85,221,770.80
  5. Step 5: Solve for x
    x = 85,221,770.80/10,603.54
  6. Step 6: Final answer
    x = 8,037.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.