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Finding the Fourth Proportional to 8,509.23, 11,740.23 and 4,972.35

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Solution

The fourth proportional to 8,509.23, 11,740.23 and 4,972.35 is: 6,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.23 : 11,740.23 = 4,972.35 : x
  2. Step 2: Convert to fraction form
    8,509.23/11,740.23 = 4,972.35/x
  3. Step 3: Cross multiply
    8,509.23x = 11,740.23 × 4,972.35
  4. Step 4: Simplify right side
    8,509.23x = 58,376,532.64
  5. Step 5: Solve for x
    x = 58,376,532.64/8,509.23
  6. Step 6: Final answer
    x = 6,860.38

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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.