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Finding the Fourth Proportional to 12,070.68, 18,106.02 and 5,046.86

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Solution

The fourth proportional to 12,070.68, 18,106.02 and 5,046.86 is: 7,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.68 : 18,106.02 = 5,046.86 : x
  2. Step 2: Convert to fraction form
    12,070.68/18,106.02 = 5,046.86/x
  3. Step 3: Cross multiply
    12,070.68x = 18,106.02 × 5,046.86
  4. Step 4: Simplify right side
    12,070.68x = 91,378,457.57
  5. Step 5: Solve for x
    x = 91,378,457.57/12,070.68
  6. Step 6: Final answer
    x = 7,570.28

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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.