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Finding the Fourth Proportional to 10,146.63, 14,002.31 and 5,670.38

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Solution

The fourth proportional to 10,146.63, 14,002.31 and 5,670.38 is: 7,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.63 : 14,002.31 = 5,670.38 : x
  2. Step 2: Convert to fraction form
    10,146.63/14,002.31 = 5,670.38/x
  3. Step 3: Cross multiply
    10,146.63x = 14,002.31 × 5,670.38
  4. Step 4: Simplify right side
    10,146.63x = 79,398,383.35
  5. Step 5: Solve for x
    x = 79,398,383.35/10,146.63
  6. Step 6: Final answer
    x = 7,825.10

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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.