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Finding the Fourth Proportional to 7,705.69, 10,624.17 and 6,287.94

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Solution

The fourth proportional to 7,705.69, 10,624.17 and 6,287.94 is: 8,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.69 : 10,624.17 = 6,287.94 : x
  2. Step 2: Convert to fraction form
    7,705.69/10,624.17 = 6,287.94/x
  3. Step 3: Cross multiply
    7,705.69x = 10,624.17 × 6,287.94
  4. Step 4: Simplify right side
    7,705.69x = 66,804,119.52
  5. Step 5: Solve for x
    x = 66,804,119.52/7,705.69
  6. Step 6: Final answer
    x = 8,669.45

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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.