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Finding the Fourth Proportional to 7,589.70, 11,370.51 and 6,364.98

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Solution

The fourth proportional to 7,589.70, 11,370.51 and 6,364.98 is: 9,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.70 : 11,370.51 = 6,364.98 : x
  2. Step 2: Convert to fraction form
    7,589.70/11,370.51 = 6,364.98/x
  3. Step 3: Cross multiply
    7,589.70x = 11,370.51 × 6,364.98
  4. Step 4: Simplify right side
    7,589.70x = 72,373,068.74
  5. Step 5: Solve for x
    x = 72,373,068.74/7,589.70
  6. Step 6: Final answer
    x = 9,535.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.