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Finding the Fourth Proportional to 7,742.90, 10,685.08 and 4,206.08

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Solution

The fourth proportional to 7,742.90, 10,685.08 and 4,206.08 is: 5,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.90 : 10,685.08 = 4,206.08 : x
  2. Step 2: Convert to fraction form
    7,742.90/10,685.08 = 4,206.08/x
  3. Step 3: Cross multiply
    7,742.90x = 10,685.08 × 4,206.08
  4. Step 4: Simplify right side
    7,742.90x = 44,942,301.29
  5. Step 5: Solve for x
    x = 44,942,301.29/7,742.90
  6. Step 6: Final answer
    x = 5,804.32

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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.