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Finding the Fourth Proportional to 10,534.85, 14,538.51 and 6,058.60

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Solution

The fourth proportional to 10,534.85, 14,538.51 and 6,058.60 is: 8,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.85 : 14,538.51 = 6,058.60 : x
  2. Step 2: Convert to fraction form
    10,534.85/14,538.51 = 6,058.60/x
  3. Step 3: Cross multiply
    10,534.85x = 14,538.51 × 6,058.60
  4. Step 4: Simplify right side
    10,534.85x = 88,082,997.38
  5. Step 5: Solve for x
    x = 88,082,997.38/10,534.85
  6. Step 6: Final answer
    x = 8,361.11

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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.