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Finding the Fourth Proportional to 10,568.97, 15,852.53 and 6,407.75

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Solution

The fourth proportional to 10,568.97, 15,852.53 and 6,407.75 is: 9,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.97 : 15,852.53 = 6,407.75 : x
  2. Step 2: Convert to fraction form
    10,568.97/15,852.53 = 6,407.75/x
  3. Step 3: Cross multiply
    10,568.97x = 15,852.53 × 6,407.75
  4. Step 4: Simplify right side
    10,568.97x = 101,578,937.81
  5. Step 5: Solve for x
    x = 101,578,937.81/10,568.97
  6. Step 6: Final answer
    x = 9,611.05

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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.