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Finding the Fourth Proportional to 10,703.22, 14,770.44 and 5,987.50

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Solution

The fourth proportional to 10,703.22, 14,770.44 and 5,987.50 is: 8,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.22 : 14,770.44 = 5,987.50 : x
  2. Step 2: Convert to fraction form
    10,703.22/14,770.44 = 5,987.50/x
  3. Step 3: Cross multiply
    10,703.22x = 14,770.44 × 5,987.50
  4. Step 4: Simplify right side
    10,703.22x = 88,438,009.50
  5. Step 5: Solve for x
    x = 88,438,009.50/10,703.22
  6. Step 6: Final answer
    x = 8,262.75

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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.