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Finding the Fourth Proportional to 10,841.70, 16,258.66 and 4,602.14

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Solution

The fourth proportional to 10,841.70, 16,258.66 and 4,602.14 is: 6,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.70 : 16,258.66 = 4,602.14 : x
  2. Step 2: Convert to fraction form
    10,841.70/16,258.66 = 4,602.14/x
  3. Step 3: Cross multiply
    10,841.70x = 16,258.66 × 4,602.14
  4. Step 4: Simplify right side
    10,841.70x = 74,824,629.53
  5. Step 5: Solve for x
    x = 74,824,629.53/10,841.70
  6. Step 6: Final answer
    x = 6,901.56

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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.