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Finding the Fourth Proportional to 8,549.76, 11,795.20 and 4,823.04

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Solution

The fourth proportional to 8,549.76, 11,795.20 and 4,823.04 is: 6,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.76 : 11,795.20 = 4,823.04 : x
  2. Step 2: Convert to fraction form
    8,549.76/11,795.20 = 4,823.04/x
  3. Step 3: Cross multiply
    8,549.76x = 11,795.20 × 4,823.04
  4. Step 4: Simplify right side
    8,549.76x = 56,888,721.41
  5. Step 5: Solve for x
    x = 56,888,721.41/8,549.76
  6. Step 6: Final answer
    x = 6,653.84

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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.