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Finding the Fourth Proportional to 7,905.64, 11,854.54 and 4,619.56

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Solution

The fourth proportional to 7,905.64, 11,854.54 and 4,619.56 is: 6,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.64 : 11,854.54 = 4,619.56 : x
  2. Step 2: Convert to fraction form
    7,905.64/11,854.54 = 4,619.56/x
  3. Step 3: Cross multiply
    7,905.64x = 11,854.54 × 4,619.56
  4. Step 4: Simplify right side
    7,905.64x = 54,762,758.80
  5. Step 5: Solve for x
    x = 54,762,758.80/7,905.64
  6. Step 6: Final answer
    x = 6,927.05

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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.