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Finding the Fourth Proportional to 10,263.44, 15,384.64 and 7,793.04

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Solution

The fourth proportional to 10,263.44, 15,384.64 and 7,793.04 is: 11,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.44 : 15,384.64 = 7,793.04 : x
  2. Step 2: Convert to fraction form
    10,263.44/15,384.64 = 7,793.04/x
  3. Step 3: Cross multiply
    10,263.44x = 15,384.64 × 7,793.04
  4. Step 4: Simplify right side
    10,263.44x = 119,893,114.91
  5. Step 5: Solve for x
    x = 119,893,114.91/10,263.44
  6. Step 6: Final answer
    x = 11,681.57

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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.