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Finding the Fourth Proportional to 10,772.87, 14,871.60 and 7,946.10

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Solution

The fourth proportional to 10,772.87, 14,871.60 and 7,946.10 is: 10,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.87 : 14,871.60 = 7,946.10 : x
  2. Step 2: Convert to fraction form
    10,772.87/14,871.60 = 7,946.10/x
  3. Step 3: Cross multiply
    10,772.87x = 14,871.60 × 7,946.10
  4. Step 4: Simplify right side
    10,772.87x = 118,171,220.76
  5. Step 5: Solve for x
    x = 118,171,220.76/10,772.87
  6. Step 6: Final answer
    x = 10,969.34

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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.