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Finding the Fourth Proportional to 8,523.52, 11,762.16 and 4,746.56

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Solution

The fourth proportional to 8,523.52, 11,762.16 and 4,746.56 is: 6,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.52 : 11,762.16 = 4,746.56 : x
  2. Step 2: Convert to fraction form
    8,523.52/11,762.16 = 4,746.56/x
  3. Step 3: Cross multiply
    8,523.52x = 11,762.16 × 4,746.56
  4. Step 4: Simplify right side
    8,523.52x = 55,829,798.17
  5. Step 5: Solve for x
    x = 55,829,798.17/8,523.52
  6. Step 6: Final answer
    x = 6,550.09

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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.