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Finding the Fourth Proportional to 10,010.64, 13,789.08 and 8,328.72

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Solution

The fourth proportional to 10,010.64, 13,789.08 and 8,328.72 is: 11,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.64 : 13,789.08 = 8,328.72 : x
  2. Step 2: Convert to fraction form
    10,010.64/13,789.08 = 8,328.72/x
  3. Step 3: Cross multiply
    10,010.64x = 13,789.08 × 8,328.72
  4. Step 4: Simplify right side
    10,010.64x = 114,845,386.38
  5. Step 5: Solve for x
    x = 114,845,386.38/10,010.64
  6. Step 6: Final answer
    x = 11,472.33

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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.