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Finding the Fourth Proportional to 10,385, 14,330.63 and 5,669.28

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Solution

The fourth proportional to 10,385, 14,330.63 and 5,669.28 is: 7,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385 : 14,330.63 = 5,669.28 : x
  2. Step 2: Convert to fraction form
    10,385/14,330.63 = 5,669.28/x
  3. Step 3: Cross multiply
    10,385x = 14,330.63 × 5,669.28
  4. Step 4: Simplify right side
    10,385x = 81,244,354.05
  5. Step 5: Solve for x
    x = 81,244,354.05/10,385
  6. Step 6: Final answer
    x = 7,823.24

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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.