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Finding the Fourth Proportional to 10,792.68, 14,891.64 and 6,315.57

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Solution

The fourth proportional to 10,792.68, 14,891.64 and 6,315.57 is: 8,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.68 : 14,891.64 = 6,315.57 : x
  2. Step 2: Convert to fraction form
    10,792.68/14,891.64 = 6,315.57/x
  3. Step 3: Cross multiply
    10,792.68x = 14,891.64 × 6,315.57
  4. Step 4: Simplify right side
    10,792.68x = 94,049,194.83
  5. Step 5: Solve for x
    x = 94,049,194.83/10,792.68
  6. Step 6: Final answer
    x = 8,714.17

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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.