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Finding the Fourth Proportional to 8,292, 11,452.68 and 5,492.64

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Solution

The fourth proportional to 8,292, 11,452.68 and 5,492.64 is: 7,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292 : 11,452.68 = 5,492.64 : x
  2. Step 2: Convert to fraction form
    8,292/11,452.68 = 5,492.64/x
  3. Step 3: Cross multiply
    8,292x = 11,452.68 × 5,492.64
  4. Step 4: Simplify right side
    8,292x = 62,905,448.28
  5. Step 5: Solve for x
    x = 62,905,448.28/8,292
  6. Step 6: Final answer
    x = 7,586.28

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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.