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Finding the Fourth Proportional to 10,773.60, 14,867.20 and 6,058.40

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Solution

The fourth proportional to 10,773.60, 14,867.20 and 6,058.40 is: 8,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.60 : 14,867.20 = 6,058.40 : x
  2. Step 2: Convert to fraction form
    10,773.60/14,867.20 = 6,058.40/x
  3. Step 3: Cross multiply
    10,773.60x = 14,867.20 × 6,058.40
  4. Step 4: Simplify right side
    10,773.60x = 90,071,444.48
  5. Step 5: Solve for x
    x = 90,071,444.48/10,773.60
  6. Step 6: Final answer
    x = 8,360.39

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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.