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Finding the Fourth Proportional to 8,523.65, 11,762.99 and 4,746.58

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Solution

The fourth proportional to 8,523.65, 11,762.99 and 4,746.58 is: 6,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.65 : 11,762.99 = 4,746.58 : x
  2. Step 2: Convert to fraction form
    8,523.65/11,762.99 = 4,746.58/x
  3. Step 3: Cross multiply
    8,523.65x = 11,762.99 × 4,746.58
  4. Step 4: Simplify right side
    8,523.65x = 55,833,937.73
  5. Step 5: Solve for x
    x = 55,833,937.73/8,523.65
  6. Step 6: Final answer
    x = 6,550.47

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