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Finding the Fourth Proportional to 10,743.57, 14,826.78 and 7,152.33

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Solution

The fourth proportional to 10,743.57, 14,826.78 and 7,152.33 is: 9,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.57 : 14,826.78 = 7,152.33 : x
  2. Step 2: Convert to fraction form
    10,743.57/14,826.78 = 7,152.33/x
  3. Step 3: Cross multiply
    10,743.57x = 14,826.78 × 7,152.33
  4. Step 4: Simplify right side
    10,743.57x = 106,046,023.40
  5. Step 5: Solve for x
    x = 106,046,023.40/10,743.57
  6. Step 6: Final answer
    x = 9,870.65

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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.