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Finding the Fourth Proportional to 7,852.32, 11,775.60 and 2,304.24

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Solution

The fourth proportional to 7,852.32, 11,775.60 and 2,304.24 is: 3,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.32 : 11,775.60 = 2,304.24 : x
  2. Step 2: Convert to fraction form
    7,852.32/11,775.60 = 2,304.24/x
  3. Step 3: Cross multiply
    7,852.32x = 11,775.60 × 2,304.24
  4. Step 4: Simplify right side
    7,852.32x = 27,133,808.54
  5. Step 5: Solve for x
    x = 27,133,808.54/7,852.32
  6. Step 6: Final answer
    x = 3,455.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.