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Finding the Fourth Proportional to 10,289.63, 15,418.23 and 7,955.34

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Solution

The fourth proportional to 10,289.63, 15,418.23 and 7,955.34 is: 11,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.63 : 15,418.23 = 7,955.34 : x
  2. Step 2: Convert to fraction form
    10,289.63/15,418.23 = 7,955.34/x
  3. Step 3: Cross multiply
    10,289.63x = 15,418.23 × 7,955.34
  4. Step 4: Simplify right side
    10,289.63x = 122,657,289.83
  5. Step 5: Solve for x
    x = 122,657,289.83/10,289.63
  6. Step 6: Final answer
    x = 11,920.48

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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.