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Finding the Fourth Proportional to 7,617.64, 11,426.46 and 2,070.99

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Solution

The fourth proportional to 7,617.64, 11,426.46 and 2,070.99 is: 3,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.64 : 11,426.46 = 2,070.99 : x
  2. Step 2: Convert to fraction form
    7,617.64/11,426.46 = 2,070.99/x
  3. Step 3: Cross multiply
    7,617.64x = 11,426.46 × 2,070.99
  4. Step 4: Simplify right side
    7,617.64x = 23,664,084.40
  5. Step 5: Solve for x
    x = 23,664,084.40/7,617.64
  6. Step 6: Final answer
    x = 3,106.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.