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Finding the Fourth Proportional to 11,509, 17,265.78 and 4,488.72

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Solution

The fourth proportional to 11,509, 17,265.78 and 4,488.72 is: 6,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509 : 17,265.78 = 4,488.72 : x
  2. Step 2: Convert to fraction form
    11,509/17,265.78 = 4,488.72/x
  3. Step 3: Cross multiply
    11,509x = 17,265.78 × 4,488.72
  4. Step 4: Simplify right side
    11,509x = 77,501,252.00
  5. Step 5: Solve for x
    x = 77,501,252.00/11,509
  6. Step 6: Final answer
    x = 6,733.97

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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.