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Finding the Fourth Proportional to 7,705.93, 10,624.28 and 6,288.17

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Solution

The fourth proportional to 7,705.93, 10,624.28 and 6,288.17 is: 8,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.93 : 10,624.28 = 6,288.17 : x
  2. Step 2: Convert to fraction form
    7,705.93/10,624.28 = 6,288.17/x
  3. Step 3: Cross multiply
    7,705.93x = 10,624.28 × 6,288.17
  4. Step 4: Simplify right side
    7,705.93x = 66,807,247.33
  5. Step 5: Solve for x
    x = 66,807,247.33/7,705.93
  6. Step 6: Final answer
    x = 8,669.59

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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.