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Finding the Fourth Proportional to 8,530.12, 11,774.10 and 5,388.40

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Solution

The fourth proportional to 8,530.12, 11,774.10 and 5,388.40 is: 7,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.12 : 11,774.10 = 5,388.40 : x
  2. Step 2: Convert to fraction form
    8,530.12/11,774.10 = 5,388.40/x
  3. Step 3: Cross multiply
    8,530.12x = 11,774.10 × 5,388.40
  4. Step 4: Simplify right side
    8,530.12x = 63,443,560.44
  5. Step 5: Solve for x
    x = 63,443,560.44/8,530.12
  6. Step 6: Final answer
    x = 7,437.59

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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.