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Finding the Fourth Proportional to 11,314.56, 15,612.66 and 7,122

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Solution

The fourth proportional to 11,314.56, 15,612.66 and 7,122 is: 9,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.56 : 15,612.66 = 7,122 : x
  2. Step 2: Convert to fraction form
    11,314.56/15,612.66 = 7,122/x
  3. Step 3: Cross multiply
    11,314.56x = 15,612.66 × 7,122
  4. Step 4: Simplify right side
    11,314.56x = 111,193,364.52
  5. Step 5: Solve for x
    x = 111,193,364.52/11,314.56
  6. Step 6: Final answer
    x = 9,827.46

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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.