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Finding the Fourth Proportional to 7,792.77, 11,689.17 and 2,598.66

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Solution

The fourth proportional to 7,792.77, 11,689.17 and 2,598.66 is: 3,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.77 : 11,689.17 = 2,598.66 : x
  2. Step 2: Convert to fraction form
    7,792.77/11,689.17 = 2,598.66/x
  3. Step 3: Cross multiply
    7,792.77x = 11,689.17 × 2,598.66
  4. Step 4: Simplify right side
    7,792.77x = 30,376,178.51
  5. Step 5: Solve for x
    x = 30,376,178.51/7,792.77
  6. Step 6: Final answer
    x = 3,898.00

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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.