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Finding the Fourth Proportional to 7,672.18, 10,582.41 and 4,684.18

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Solution

The fourth proportional to 7,672.18, 10,582.41 and 4,684.18 is: 6,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.18 : 10,582.41 = 4,684.18 : x
  2. Step 2: Convert to fraction form
    7,672.18/10,582.41 = 4,684.18/x
  3. Step 3: Cross multiply
    7,672.18x = 10,582.41 × 4,684.18
  4. Step 4: Simplify right side
    7,672.18x = 49,569,913.27
  5. Step 5: Solve for x
    x = 49,569,913.27/7,672.18
  6. Step 6: Final answer
    x = 6,460.99

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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.