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Finding the Fourth Proportional to 13,377.63, 18,461.33 and 7,712.28

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Solution

The fourth proportional to 13,377.63, 18,461.33 and 7,712.28 is: 10,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.63 : 18,461.33 = 7,712.28 : x
  2. Step 2: Convert to fraction form
    13,377.63/18,461.33 = 7,712.28/x
  3. Step 3: Cross multiply
    13,377.63x = 18,461.33 × 7,712.28
  4. Step 4: Simplify right side
    13,377.63x = 142,378,907.57
  5. Step 5: Solve for x
    x = 142,378,907.57/13,377.63
  6. Step 6: Final answer
    x = 10,643.06

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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.