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Finding the Fourth Proportional to 7,792.59, 11,688.95 and 2,598.46

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Solution

The fourth proportional to 7,792.59, 11,688.95 and 2,598.46 is: 3,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.59 : 11,688.95 = 2,598.46 : x
  2. Step 2: Convert to fraction form
    7,792.59/11,688.95 = 2,598.46/x
  3. Step 3: Cross multiply
    7,792.59x = 11,688.95 × 2,598.46
  4. Step 4: Simplify right side
    7,792.59x = 30,373,269.02
  5. Step 5: Solve for x
    x = 30,373,269.02/7,792.59
  6. Step 6: Final answer
    x = 3,897.71

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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.