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Finding the Fourth Proportional to 10,804.16, 16,211.02 and 4,568.48

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Solution

The fourth proportional to 10,804.16, 16,211.02 and 4,568.48 is: 6,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.16 : 16,211.02 = 4,568.48 : x
  2. Step 2: Convert to fraction form
    10,804.16/16,211.02 = 4,568.48/x
  3. Step 3: Cross multiply
    10,804.16x = 16,211.02 × 4,568.48
  4. Step 4: Simplify right side
    10,804.16x = 74,059,671.21
  5. Step 5: Solve for x
    x = 74,059,671.21/10,804.16
  6. Step 6: Final answer
    x = 6,854.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.