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Finding the Fourth Proportional to 7,008.32, 9,671.05 and 4,022.06

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Solution

The fourth proportional to 7,008.32, 9,671.05 and 4,022.06 is: 5,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.32 : 9,671.05 = 4,022.06 : x
  2. Step 2: Convert to fraction form
    7,008.32/9,671.05 = 4,022.06/x
  3. Step 3: Cross multiply
    7,008.32x = 9,671.05 × 4,022.06
  4. Step 4: Simplify right side
    7,008.32x = 38,897,477.41
  5. Step 5: Solve for x
    x = 38,897,477.41/7,008.32
  6. Step 6: Final answer
    x = 5,550.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.