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Finding the Fourth Proportional to 7,705.71, 10,633.28 and 4,349.34

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Solution

The fourth proportional to 7,705.71, 10,633.28 and 4,349.34 is: 6,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.71 : 10,633.28 = 4,349.34 : x
  2. Step 2: Convert to fraction form
    7,705.71/10,633.28 = 4,349.34/x
  3. Step 3: Cross multiply
    7,705.71x = 10,633.28 × 4,349.34
  4. Step 4: Simplify right side
    7,705.71x = 46,247,728.29
  5. Step 5: Solve for x
    x = 46,247,728.29/7,705.71
  6. Step 6: Final answer
    x = 6,001.75

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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.