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Finding the Fourth Proportional to 11,603.49, 16,012.80 and 6,567.62

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Solution

The fourth proportional to 11,603.49, 16,012.80 and 6,567.62 is: 9,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.49 : 16,012.80 = 6,567.62 : x
  2. Step 2: Convert to fraction form
    11,603.49/16,012.80 = 6,567.62/x
  3. Step 3: Cross multiply
    11,603.49x = 16,012.80 × 6,567.62
  4. Step 4: Simplify right side
    11,603.49x = 105,165,985.54
  5. Step 5: Solve for x
    x = 105,165,985.54/11,603.49
  6. Step 6: Final answer
    x = 9,063.31

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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.