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Finding the Fourth Proportional to 10,483.79, 14,467.68 and 5,768.37

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Solution

The fourth proportional to 10,483.79, 14,467.68 and 5,768.37 is: 7,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.79 : 14,467.68 = 5,768.37 : x
  2. Step 2: Convert to fraction form
    10,483.79/14,467.68 = 5,768.37/x
  3. Step 3: Cross multiply
    10,483.79x = 14,467.68 × 5,768.37
  4. Step 4: Simplify right side
    10,483.79x = 83,454,931.28
  5. Step 5: Solve for x
    x = 83,454,931.28/10,483.79
  6. Step 6: Final answer
    x = 7,960.38

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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.