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Finding the Fourth Proportional to 11,295.84, 15,588.38 and 6,580.56

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Solution

The fourth proportional to 11,295.84, 15,588.38 and 6,580.56 is: 9,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.84 : 15,588.38 = 6,580.56 : x
  2. Step 2: Convert to fraction form
    11,295.84/15,588.38 = 6,580.56/x
  3. Step 3: Cross multiply
    11,295.84x = 15,588.38 × 6,580.56
  4. Step 4: Simplify right side
    11,295.84x = 102,580,269.89
  5. Step 5: Solve for x
    x = 102,580,269.89/11,295.84
  6. Step 6: Final answer
    x = 9,081.24

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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.