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Finding the Fourth Proportional to 11,346.16, 15,657.84 and 6,378.16

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Solution

The fourth proportional to 11,346.16, 15,657.84 and 6,378.16 is: 8,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.16 : 15,657.84 = 6,378.16 : x
  2. Step 2: Convert to fraction form
    11,346.16/15,657.84 = 6,378.16/x
  3. Step 3: Cross multiply
    11,346.16x = 15,657.84 × 6,378.16
  4. Step 4: Simplify right side
    11,346.16x = 99,868,208.77
  5. Step 5: Solve for x
    x = 99,868,208.77/11,346.16
  6. Step 6: Final answer
    x = 8,801.94

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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.