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Finding the Fourth Proportional to 7,678.65, 10,592.12 and 4,845.02

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Solution

The fourth proportional to 7,678.65, 10,592.12 and 4,845.02 is: 6,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.65 : 10,592.12 = 4,845.02 : x
  2. Step 2: Convert to fraction form
    7,678.65/10,592.12 = 4,845.02/x
  3. Step 3: Cross multiply
    7,678.65x = 10,592.12 × 4,845.02
  4. Step 4: Simplify right side
    7,678.65x = 51,318,965.14
  5. Step 5: Solve for x
    x = 51,318,965.14/7,678.65
  6. Step 6: Final answer
    x = 6,683.33

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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.