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Finding the Fourth Proportional to 11,295.66, 15,588.54 and 7,049.24

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Solution

The fourth proportional to 11,295.66, 15,588.54 and 7,049.24 is: 9,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.66 : 15,588.54 = 7,049.24 : x
  2. Step 2: Convert to fraction form
    11,295.66/15,588.54 = 7,049.24/x
  3. Step 3: Cross multiply
    11,295.66x = 15,588.54 × 7,049.24
  4. Step 4: Simplify right side
    11,295.66x = 109,887,281.77
  5. Step 5: Solve for x
    x = 109,887,281.77/11,295.66
  6. Step 6: Final answer
    x = 9,728.27

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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.