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Finding the Fourth Proportional to 10,135.56, 13,991.52 and 6,503.16

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Solution

The fourth proportional to 10,135.56, 13,991.52 and 6,503.16 is: 8,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.56 : 13,991.52 = 6,503.16 : x
  2. Step 2: Convert to fraction form
    10,135.56/13,991.52 = 6,503.16/x
  3. Step 3: Cross multiply
    10,135.56x = 13,991.52 × 6,503.16
  4. Step 4: Simplify right side
    10,135.56x = 90,989,093.20
  5. Step 5: Solve for x
    x = 90,989,093.20/10,135.56
  6. Step 6: Final answer
    x = 8,977.21

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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.