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Finding the Fourth Proportional to 7,106.66, 10,659.99 and 3,210.02

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Solution

The fourth proportional to 7,106.66, 10,659.99 and 3,210.02 is: 4,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.66 : 10,659.99 = 3,210.02 : x
  2. Step 2: Convert to fraction form
    7,106.66/10,659.99 = 3,210.02/x
  3. Step 3: Cross multiply
    7,106.66x = 10,659.99 × 3,210.02
  4. Step 4: Simplify right side
    7,106.66x = 34,218,781.10
  5. Step 5: Solve for x
    x = 34,218,781.10/7,106.66
  6. Step 6: Final answer
    x = 4,815.03

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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.