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Finding the Fourth Proportional to 12,572.04, 18,858.06 and 3,807

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Solution

The fourth proportional to 12,572.04, 18,858.06 and 3,807 is: 5,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.04 : 18,858.06 = 3,807 : x
  2. Step 2: Convert to fraction form
    12,572.04/18,858.06 = 3,807/x
  3. Step 3: Cross multiply
    12,572.04x = 18,858.06 × 3,807
  4. Step 4: Simplify right side
    12,572.04x = 71,792,634.42
  5. Step 5: Solve for x
    x = 71,792,634.42/12,572.04
  6. Step 6: Final answer
    x = 5,710.50

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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.