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Finding the Fourth Proportional to 10,775.12, 14,866 and 6,058.40

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Solution

The fourth proportional to 10,775.12, 14,866 and 6,058.40 is: 8,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.12 : 14,866 = 6,058.40 : x
  2. Step 2: Convert to fraction form
    10,775.12/14,866 = 6,058.40/x
  3. Step 3: Cross multiply
    10,775.12x = 14,866 × 6,058.40
  4. Step 4: Simplify right side
    10,775.12x = 90,064,174.40
  5. Step 5: Solve for x
    x = 90,064,174.40/10,775.12
  6. Step 6: Final answer
    x = 8,358.53

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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.