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Finding the Fourth Proportional to 8,603.74, 12,905.34 and 4,732.48

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Solution

The fourth proportional to 8,603.74, 12,905.34 and 4,732.48 is: 7,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603.74 : 12,905.34 = 4,732.48 : x
  2. Step 2: Convert to fraction form
    8,603.74/12,905.34 = 4,732.48/x
  3. Step 3: Cross multiply
    8,603.74x = 12,905.34 × 4,732.48
  4. Step 4: Simplify right side
    8,603.74x = 61,074,263.44
  5. Step 5: Solve for x
    x = 61,074,263.44/8,603.74
  6. Step 6: Final answer
    x = 7,098.57

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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.