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Finding the Fourth Proportional to 10,468.84, 14,447.06 and 5,753.16

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Solution

The fourth proportional to 10,468.84, 14,447.06 and 5,753.16 is: 7,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.84 : 14,447.06 = 5,753.16 : x
  2. Step 2: Convert to fraction form
    10,468.84/14,447.06 = 5,753.16/x
  3. Step 3: Cross multiply
    10,468.84x = 14,447.06 × 5,753.16
  4. Step 4: Simplify right side
    10,468.84x = 83,116,247.71
  5. Step 5: Solve for x
    x = 83,116,247.71/10,468.84
  6. Step 6: Final answer
    x = 7,939.39

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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.