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Finding the Fourth Proportional to 7,005.84, 10,490.22 and 4,228.80

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Solution

The fourth proportional to 7,005.84, 10,490.22 and 4,228.80 is: 6,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.84 : 10,490.22 = 4,228.80 : x
  2. Step 2: Convert to fraction form
    7,005.84/10,490.22 = 4,228.80/x
  3. Step 3: Cross multiply
    7,005.84x = 10,490.22 × 4,228.80
  4. Step 4: Simplify right side
    7,005.84x = 44,361,042.34
  5. Step 5: Solve for x
    x = 44,361,042.34/7,005.84
  6. Step 6: Final answer
    x = 6,332.01

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