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Finding the Fourth Proportional to 7,589.00, 10,472.42 and 4,756.50

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Solution

The fourth proportional to 7,589.00, 10,472.42 and 4,756.50 is: 6,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.00 : 10,472.42 = 4,756.50 : x
  2. Step 2: Convert to fraction form
    7,589.00/10,472.42 = 4,756.50/x
  3. Step 3: Cross multiply
    7,589.00x = 10,472.42 × 4,756.50
  4. Step 4: Simplify right side
    7,589.00x = 49,812,077.62
  5. Step 5: Solve for x
    x = 49,812,077.62/7,589.00
  6. Step 6: Final answer
    x = 6,563.72

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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.