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Finding the Fourth Proportional to 7,718.10, 10,834.50 and 7,718.10

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Solution

The fourth proportional to 7,718.10, 10,834.50 and 7,718.10 is: 10,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.10 : 10,834.50 = 7,718.10 : x
  2. Step 2: Convert to fraction form
    7,718.10/10,834.50 = 7,718.10/x
  3. Step 3: Cross multiply
    7,718.10x = 10,834.50 × 7,718.10
  4. Step 4: Simplify right side
    7,718.10x = 83,621,754.45
  5. Step 5: Solve for x
    x = 83,621,754.45/7,718.10
  6. Step 6: Final answer
    x = 10,834.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.