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Finding the Fourth Proportional to 11,505.30, 15,877.29 and 6,728.52

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Solution

The fourth proportional to 11,505.30, 15,877.29 and 6,728.52 is: 9,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.30 : 15,877.29 = 6,728.52 : x
  2. Step 2: Convert to fraction form
    11,505.30/15,877.29 = 6,728.52/x
  3. Step 3: Cross multiply
    11,505.30x = 15,877.29 × 6,728.52
  4. Step 4: Simplify right side
    11,505.30x = 106,830,663.31
  5. Step 5: Solve for x
    x = 106,830,663.31/11,505.30
  6. Step 6: Final answer
    x = 9,285.34

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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.