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Finding the Fourth Proportional to 7,705.85, 10,634.06 and 4,349.36

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Solution

The fourth proportional to 7,705.85, 10,634.06 and 4,349.36 is: 6,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.85 : 10,634.06 = 4,349.36 : x
  2. Step 2: Convert to fraction form
    7,705.85/10,634.06 = 4,349.36/x
  3. Step 3: Cross multiply
    7,705.85x = 10,634.06 × 4,349.36
  4. Step 4: Simplify right side
    7,705.85x = 46,251,392.66
  5. Step 5: Solve for x
    x = 46,251,392.66/7,705.85
  6. Step 6: Final answer
    x = 6,002.12

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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.