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Finding the Fourth Proportional to 8,575.24, 11,828.58 and 7,577.32

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Solution

The fourth proportional to 8,575.24, 11,828.58 and 7,577.32 is: 10,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.24 : 11,828.58 = 7,577.32 : x
  2. Step 2: Convert to fraction form
    8,575.24/11,828.58 = 7,577.32/x
  3. Step 3: Cross multiply
    8,575.24x = 11,828.58 × 7,577.32
  4. Step 4: Simplify right side
    8,575.24x = 89,628,935.81
  5. Step 5: Solve for x
    x = 89,628,935.81/8,575.24
  6. Step 6: Final answer
    x = 10,452.06

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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.