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Finding the Fourth Proportional to 13,013.04, 17,956.65 and 7,348.11

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Solution

The fourth proportional to 13,013.04, 17,956.65 and 7,348.11 is: 10,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.04 : 17,956.65 = 7,348.11 : x
  2. Step 2: Convert to fraction form
    13,013.04/17,956.65 = 7,348.11/x
  3. Step 3: Cross multiply
    13,013.04x = 17,956.65 × 7,348.11
  4. Step 4: Simplify right side
    13,013.04x = 131,947,439.43
  5. Step 5: Solve for x
    x = 131,947,439.43/13,013.04
  6. Step 6: Final answer
    x = 10,139.63

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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.