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Finding the Fourth Proportional to 11,812.16, 17,702.88 and 5,228.48

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Solution

The fourth proportional to 11,812.16, 17,702.88 and 5,228.48 is: 7,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.16 : 17,702.88 = 5,228.48 : x
  2. Step 2: Convert to fraction form
    11,812.16/17,702.88 = 5,228.48/x
  3. Step 3: Cross multiply
    11,812.16x = 17,702.88 × 5,228.48
  4. Step 4: Simplify right side
    11,812.16x = 92,559,154.02
  5. Step 5: Solve for x
    x = 92,559,154.02/11,812.16
  6. Step 6: Final answer
    x = 7,835.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.