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Finding the Fourth Proportional to 11,854.54, 17,783.84 and 5,280.58

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Solution

The fourth proportional to 11,854.54, 17,783.84 and 5,280.58 is: 7,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.54 : 17,783.84 = 5,280.58 : x
  2. Step 2: Convert to fraction form
    11,854.54/17,783.84 = 5,280.58/x
  3. Step 3: Cross multiply
    11,854.54x = 17,783.84 × 5,280.58
  4. Step 4: Simplify right side
    11,854.54x = 93,908,989.83
  5. Step 5: Solve for x
    x = 93,908,989.83/11,854.54
  6. Step 6: Final answer
    x = 7,921.77

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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.