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Finding the Fourth Proportional to 7,300, 10,947.69 and 2,368.49

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Solution

The fourth proportional to 7,300, 10,947.69 and 2,368.49 is: 3,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300 : 10,947.69 = 2,368.49 : x
  2. Step 2: Convert to fraction form
    7,300/10,947.69 = 2,368.49/x
  3. Step 3: Cross multiply
    7,300x = 10,947.69 × 2,368.49
  4. Step 4: Simplify right side
    7,300x = 25,929,494.29
  5. Step 5: Solve for x
    x = 25,929,494.29/7,300
  6. Step 6: Final answer
    x = 3,551.99

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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.