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Finding the Fourth Proportional to 10,466.82, 15,772.23 and 8,658.63

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Solution

The fourth proportional to 10,466.82, 15,772.23 and 8,658.63 is: 13,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.82 : 15,772.23 = 8,658.63 : x
  2. Step 2: Convert to fraction form
    10,466.82/15,772.23 = 8,658.63/x
  3. Step 3: Cross multiply
    10,466.82x = 15,772.23 × 8,658.63
  4. Step 4: Simplify right side
    10,466.82x = 136,565,903.84
  5. Step 5: Solve for x
    x = 136,565,903.84/10,466.82
  6. Step 6: Final answer
    x = 13,047.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.