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Finding the Fourth Proportional to 12,954.47, 17,875.89 and 7,289.10

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Solution

The fourth proportional to 12,954.47, 17,875.89 and 7,289.10 is: 10,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.47 : 17,875.89 = 7,289.10 : x
  2. Step 2: Convert to fraction form
    12,954.47/17,875.89 = 7,289.10/x
  3. Step 3: Cross multiply
    12,954.47x = 17,875.89 × 7,289.10
  4. Step 4: Simplify right side
    12,954.47x = 130,299,149.80
  5. Step 5: Solve for x
    x = 130,299,149.80/12,954.47
  6. Step 6: Final answer
    x = 10,058.24

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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.