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Finding the Fourth Proportional to 7,566.50, 10,442.64 and 4,422.50

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Solution

The fourth proportional to 7,566.50, 10,442.64 and 4,422.50 is: 6,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.50 : 10,442.64 = 4,422.50 : x
  2. Step 2: Convert to fraction form
    7,566.50/10,442.64 = 4,422.50/x
  3. Step 3: Cross multiply
    7,566.50x = 10,442.64 × 4,422.50
  4. Step 4: Simplify right side
    7,566.50x = 46,182,575.40
  5. Step 5: Solve for x
    x = 46,182,575.40/7,566.50
  6. Step 6: Final answer
    x = 6,103.56

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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.