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Finding the Fourth Proportional to 10,703.54, 14,770.91 and 5,987.82

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Solution

The fourth proportional to 10,703.54, 14,770.91 and 5,987.82 is: 8,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.54 : 14,770.91 = 5,987.82 : x
  2. Step 2: Convert to fraction form
    10,703.54/14,770.91 = 5,987.82/x
  3. Step 3: Cross multiply
    10,703.54x = 14,770.91 × 5,987.82
  4. Step 4: Simplify right side
    10,703.54x = 88,445,587.00
  5. Step 5: Solve for x
    x = 88,445,587.00/10,703.54
  6. Step 6: Final answer
    x = 8,263.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.