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Finding the Fourth Proportional to 7,582.50, 10,463.99 and 4,438.62

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Solution

The fourth proportional to 7,582.50, 10,463.99 and 4,438.62 is: 6,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.50 : 10,463.99 = 4,438.62 : x
  2. Step 2: Convert to fraction form
    7,582.50/10,463.99 = 4,438.62/x
  3. Step 3: Cross multiply
    7,582.50x = 10,463.99 × 4,438.62
  4. Step 4: Simplify right side
    7,582.50x = 46,445,653.10
  5. Step 5: Solve for x
    x = 46,445,653.10/7,582.50
  6. Step 6: Final answer
    x = 6,125.37

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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.