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Finding the Fourth Proportional to 10,117.60, 13,971.10 and 6,347.25

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Solution

The fourth proportional to 10,117.60, 13,971.10 and 6,347.25 is: 8,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.60 : 13,971.10 = 6,347.25 : x
  2. Step 2: Convert to fraction form
    10,117.60/13,971.10 = 6,347.25/x
  3. Step 3: Cross multiply
    10,117.60x = 13,971.10 × 6,347.25
  4. Step 4: Simplify right side
    10,117.60x = 88,677,994.62
  5. Step 5: Solve for x
    x = 88,677,994.62/10,117.60
  6. Step 6: Final answer
    x = 8,764.73

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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.