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Finding the Fourth Proportional to 11,378.64, 15,702.84 and 6,663.12

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Solution

The fourth proportional to 11,378.64, 15,702.84 and 6,663.12 is: 9,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.64 : 15,702.84 = 6,663.12 : x
  2. Step 2: Convert to fraction form
    11,378.64/15,702.84 = 6,663.12/x
  3. Step 3: Cross multiply
    11,378.64x = 15,702.84 × 6,663.12
  4. Step 4: Simplify right side
    11,378.64x = 104,629,907.26
  5. Step 5: Solve for x
    x = 104,629,907.26/11,378.64
  6. Step 6: Final answer
    x = 9,195.29

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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.