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Finding the Fourth Proportional to 8,292.63, 11,442.96 and 4,706.45

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Solution

The fourth proportional to 8,292.63, 11,442.96 and 4,706.45 is: 6,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.63 : 11,442.96 = 4,706.45 : x
  2. Step 2: Convert to fraction form
    8,292.63/11,442.96 = 4,706.45/x
  3. Step 3: Cross multiply
    8,292.63x = 11,442.96 × 4,706.45
  4. Step 4: Simplify right side
    8,292.63x = 53,855,661.88
  5. Step 5: Solve for x
    x = 53,855,661.88/8,292.63
  6. Step 6: Final answer
    x = 6,494.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.