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Finding the Fourth Proportional to 7,703.90, 10,626.70 and 5,685.30

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Solution

The fourth proportional to 7,703.90, 10,626.70 and 5,685.30 is: 7,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.90 : 10,626.70 = 5,685.30 : x
  2. Step 2: Convert to fraction form
    7,703.90/10,626.70 = 5,685.30/x
  3. Step 3: Cross multiply
    7,703.90x = 10,626.70 × 5,685.30
  4. Step 4: Simplify right side
    7,703.90x = 60,415,977.51
  5. Step 5: Solve for x
    x = 60,415,977.51/7,703.90
  6. Step 6: Final answer
    x = 7,842.26

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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.