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Finding the Fourth Proportional to 7,792.70, 11,689.64 and 2,598.57

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Solution

The fourth proportional to 7,792.70, 11,689.64 and 2,598.57 is: 3,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.70 : 11,689.64 = 2,598.57 : x
  2. Step 2: Convert to fraction form
    7,792.70/11,689.64 = 2,598.57/x
  3. Step 3: Cross multiply
    7,792.70x = 11,689.64 × 2,598.57
  4. Step 4: Simplify right side
    7,792.70x = 30,376,334.82
  5. Step 5: Solve for x
    x = 30,376,334.82/7,792.70
  6. Step 6: Final answer
    x = 3,898.05

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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.