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Finding the Fourth Proportional to 7,862.46, 11,792.88 and 2,597.28

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Solution

The fourth proportional to 7,862.46, 11,792.88 and 2,597.28 is: 3,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.46 : 11,792.88 = 2,597.28 : x
  2. Step 2: Convert to fraction form
    7,862.46/11,792.88 = 2,597.28/x
  3. Step 3: Cross multiply
    7,862.46x = 11,792.88 × 2,597.28
  4. Step 4: Simplify right side
    7,862.46x = 30,629,411.37
  5. Step 5: Solve for x
    x = 30,629,411.37/7,862.46
  6. Step 6: Final answer
    x = 3,895.65

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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.