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Finding the Fourth Proportional to 11,384.40, 15,710.76 and 6,349.44

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Solution

The fourth proportional to 11,384.40, 15,710.76 and 6,349.44 is: 8,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.40 : 15,710.76 = 6,349.44 : x
  2. Step 2: Convert to fraction form
    11,384.40/15,710.76 = 6,349.44/x
  3. Step 3: Cross multiply
    11,384.40x = 15,710.76 × 6,349.44
  4. Step 4: Simplify right side
    11,384.40x = 99,754,527.97
  5. Step 5: Solve for x
    x = 99,754,527.97/11,384.40
  6. Step 6: Final answer
    x = 8,762.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.