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Finding the Fourth Proportional to 11,539.56, 15,924.60 and 6,824.16

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Solution

The fourth proportional to 11,539.56, 15,924.60 and 6,824.16 is: 9,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.56 : 15,924.60 = 6,824.16 : x
  2. Step 2: Convert to fraction form
    11,539.56/15,924.60 = 6,824.16/x
  3. Step 3: Cross multiply
    11,539.56x = 15,924.60 × 6,824.16
  4. Step 4: Simplify right side
    11,539.56x = 108,672,018.34
  5. Step 5: Solve for x
    x = 108,672,018.34/11,539.56
  6. Step 6: Final answer
    x = 9,417.35

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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.