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Finding the Fourth Proportional to 8,433, 11,637.54 and 4,707

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Solution

The fourth proportional to 8,433, 11,637.54 and 4,707 is: 6,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433 : 11,637.54 = 4,707 : x
  2. Step 2: Convert to fraction form
    8,433/11,637.54 = 4,707/x
  3. Step 3: Cross multiply
    8,433x = 11,637.54 × 4,707
  4. Step 4: Simplify right side
    8,433x = 54,777,900.78
  5. Step 5: Solve for x
    x = 54,777,900.78/8,433
  6. Step 6: Final answer
    x = 6,495.66

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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.