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Finding the Fourth Proportional to 10,693.40, 16,037.52 and 4,116.20

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Solution

The fourth proportional to 10,693.40, 16,037.52 and 4,116.20 is: 6,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.40 : 16,037.52 = 4,116.20 : x
  2. Step 2: Convert to fraction form
    10,693.40/16,037.52 = 4,116.20/x
  3. Step 3: Cross multiply
    10,693.40x = 16,037.52 × 4,116.20
  4. Step 4: Simplify right side
    10,693.40x = 66,013,639.82
  5. Step 5: Solve for x
    x = 66,013,639.82/10,693.40
  6. Step 6: Final answer
    x = 6,173.31

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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.