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Finding the Fourth Proportional to 8,292.12, 11,442.90 and 4,566.12

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Solution

The fourth proportional to 8,292.12, 11,442.90 and 4,566.12 is: 6,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.12 : 11,442.90 = 4,566.12 : x
  2. Step 2: Convert to fraction form
    8,292.12/11,442.90 = 4,566.12/x
  3. Step 3: Cross multiply
    8,292.12x = 11,442.90 × 4,566.12
  4. Step 4: Simplify right side
    8,292.12x = 52,249,654.55
  5. Step 5: Solve for x
    x = 52,249,654.55/8,292.12
  6. Step 6: Final answer
    x = 6,301.12

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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.