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Finding the Fourth Proportional to 8,834.16, 12,184 and 7,769.60

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Solution

The fourth proportional to 8,834.16, 12,184 and 7,769.60 is: 10,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.16 : 12,184 = 7,769.60 : x
  2. Step 2: Convert to fraction form
    8,834.16/12,184 = 7,769.60/x
  3. Step 3: Cross multiply
    8,834.16x = 12,184 × 7,769.60
  4. Step 4: Simplify right side
    8,834.16x = 94,664,806.40
  5. Step 5: Solve for x
    x = 94,664,806.40/8,834.16
  6. Step 6: Final answer
    x = 10,715.77

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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.