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Finding the Fourth Proportional to 10,145.64, 15,218.46 and 6,657.72

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Solution

The fourth proportional to 10,145.64, 15,218.46 and 6,657.72 is: 9,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.64 : 15,218.46 = 6,657.72 : x
  2. Step 2: Convert to fraction form
    10,145.64/15,218.46 = 6,657.72/x
  3. Step 3: Cross multiply
    10,145.64x = 15,218.46 × 6,657.72
  4. Step 4: Simplify right side
    10,145.64x = 101,320,245.51
  5. Step 5: Solve for x
    x = 101,320,245.51/10,145.64
  6. Step 6: Final answer
    x = 9,986.58

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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.