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Finding the Fourth Proportional to 11,503.08, 15,876 and 7,733.34

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Solution

The fourth proportional to 11,503.08, 15,876 and 7,733.34 is: 10,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.08 : 15,876 = 7,733.34 : x
  2. Step 2: Convert to fraction form
    11,503.08/15,876 = 7,733.34/x
  3. Step 3: Cross multiply
    11,503.08x = 15,876 × 7,733.34
  4. Step 4: Simplify right side
    11,503.08x = 122,774,505.84
  5. Step 5: Solve for x
    x = 122,774,505.84/11,503.08
  6. Step 6: Final answer
    x = 10,673.19

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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.