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Finding the Fourth Proportional to 11,501.65, 15,867.30 and 6,721.30

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Solution

The fourth proportional to 11,501.65, 15,867.30 and 6,721.30 is: 9,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.65 : 15,867.30 = 6,721.30 : x
  2. Step 2: Convert to fraction form
    11,501.65/15,867.30 = 6,721.30/x
  3. Step 3: Cross multiply
    11,501.65x = 15,867.30 × 6,721.30
  4. Step 4: Simplify right side
    11,501.65x = 106,648,883.49
  5. Step 5: Solve for x
    x = 106,648,883.49/11,501.65
  6. Step 6: Final answer
    x = 9,272.49

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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.