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Finding the Fourth Proportional to 8,531.12, 11,774.76 and 5,735

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Solution

The fourth proportional to 8,531.12, 11,774.76 and 5,735 is: 7,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.12 : 11,774.76 = 5,735 : x
  2. Step 2: Convert to fraction form
    8,531.12/11,774.76 = 5,735/x
  3. Step 3: Cross multiply
    8,531.12x = 11,774.76 × 5,735
  4. Step 4: Simplify right side
    8,531.12x = 67,528,248.60
  5. Step 5: Solve for x
    x = 67,528,248.60/8,531.12
  6. Step 6: Final answer
    x = 7,915.52

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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.