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Finding the Fourth Proportional to 11,162.48, 15,405.45 and 7,133

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Solution

The fourth proportional to 11,162.48, 15,405.45 and 7,133 is: 9,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.48 : 15,405.45 = 7,133 : x
  2. Step 2: Convert to fraction form
    11,162.48/15,405.45 = 7,133/x
  3. Step 3: Cross multiply
    11,162.48x = 15,405.45 × 7,133
  4. Step 4: Simplify right side
    11,162.48x = 109,887,074.85
  5. Step 5: Solve for x
    x = 109,887,074.85/11,162.48
  6. Step 6: Final answer
    x = 9,844.32

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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.