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Finding the Fourth Proportional to 10,419.64, 15,633.42 and 6,728.92

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Solution

The fourth proportional to 10,419.64, 15,633.42 and 6,728.92 is: 10,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.64 : 15,633.42 = 6,728.92 : x
  2. Step 2: Convert to fraction form
    10,419.64/15,633.42 = 6,728.92/x
  3. Step 3: Cross multiply
    10,419.64x = 15,633.42 × 6,728.92
  4. Step 4: Simplify right side
    10,419.64x = 105,196,032.51
  5. Step 5: Solve for x
    x = 105,196,032.51/10,419.64
  6. Step 6: Final answer
    x = 10,095.94

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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.