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Finding the Fourth Proportional to 12,870.30, 17,760.02 and 7,203.75

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Solution

The fourth proportional to 12,870.30, 17,760.02 and 7,203.75 is: 9,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.30 : 17,760.02 = 7,203.75 : x
  2. Step 2: Convert to fraction form
    12,870.30/17,760.02 = 7,203.75/x
  3. Step 3: Cross multiply
    12,870.30x = 17,760.02 × 7,203.75
  4. Step 4: Simplify right side
    12,870.30x = 127,938,655.27
  5. Step 5: Solve for x
    x = 127,938,655.27/12,870.30
  6. Step 6: Final answer
    x = 9,940.62

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