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Finding the Fourth Proportional to 7,898.58, 11,848.50 and 2,704.50

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Solution

The fourth proportional to 7,898.58, 11,848.50 and 2,704.50 is: 4,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.58 : 11,848.50 = 2,704.50 : x
  2. Step 2: Convert to fraction form
    7,898.58/11,848.50 = 2,704.50/x
  3. Step 3: Cross multiply
    7,898.58x = 11,848.50 × 2,704.50
  4. Step 4: Simplify right side
    7,898.58x = 32,044,268.25
  5. Step 5: Solve for x
    x = 32,044,268.25/7,898.58
  6. Step 6: Final answer
    x = 4,056.97

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Why These Related Problems?

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