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Finding the Fourth Proportional to 4,709.80, 7,064.16 and 2,111.32

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Solution

The fourth proportional to 4,709.80, 7,064.16 and 2,111.32 is: 3,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.80 : 7,064.16 = 2,111.32 : x
  2. Step 2: Convert to fraction form
    4,709.80/7,064.16 = 2,111.32/x
  3. Step 3: Cross multiply
    4,709.80x = 7,064.16 × 2,111.32
  4. Step 4: Simplify right side
    4,709.80x = 14,914,702.29
  5. Step 5: Solve for x
    x = 14,914,702.29/4,709.80
  6. Step 6: Final answer
    x = 3,166.74

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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.