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Finding the Fourth Proportional to 11,293.38, 15,583.05 and 7,098.66

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Solution

The fourth proportional to 11,293.38, 15,583.05 and 7,098.66 is: 9,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.38 : 15,583.05 = 7,098.66 : x
  2. Step 2: Convert to fraction form
    11,293.38/15,583.05 = 7,098.66/x
  3. Step 3: Cross multiply
    11,293.38x = 15,583.05 × 7,098.66
  4. Step 4: Simplify right side
    11,293.38x = 110,618,773.71
  5. Step 5: Solve for x
    x = 110,618,773.71/11,293.38
  6. Step 6: Final answer
    x = 9,795.01

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Why These Related Problems?

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