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Finding the Fourth Proportional to 8,523.76, 11,762.04 and 4,746.64

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Solution

The fourth proportional to 8,523.76, 11,762.04 and 4,746.64 is: 6,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.76 : 11,762.04 = 4,746.64 : x
  2. Step 2: Convert to fraction form
    8,523.76/11,762.04 = 4,746.64/x
  3. Step 3: Cross multiply
    8,523.76x = 11,762.04 × 4,746.64
  4. Step 4: Simplify right side
    8,523.76x = 55,830,169.55
  5. Step 5: Solve for x
    x = 55,830,169.55/8,523.76
  6. Step 6: Final answer
    x = 6,549.95

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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.