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Finding the Fourth Proportional to 11,603.74, 16,012.20 and 6,567.70

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Solution

The fourth proportional to 11,603.74, 16,012.20 and 6,567.70 is: 9,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.74 : 16,012.20 = 6,567.70 : x
  2. Step 2: Convert to fraction form
    11,603.74/16,012.20 = 6,567.70/x
  3. Step 3: Cross multiply
    11,603.74x = 16,012.20 × 6,567.70
  4. Step 4: Simplify right side
    11,603.74x = 105,163,325.94
  5. Step 5: Solve for x
    x = 105,163,325.94/11,603.74
  6. Step 6: Final answer
    x = 9,062.88

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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.