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Finding the Fourth Proportional to 10,946.50, 15,106.98 and 6,232.30

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Solution

The fourth proportional to 10,946.50, 15,106.98 and 6,232.30 is: 8,601.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.50 : 15,106.98 = 6,232.30 : x
  2. Step 2: Convert to fraction form
    10,946.50/15,106.98 = 6,232.30/x
  3. Step 3: Cross multiply
    10,946.50x = 15,106.98 × 6,232.30
  4. Step 4: Simplify right side
    10,946.50x = 94,151,231.45
  5. Step 5: Solve for x
    x = 94,151,231.45/10,946.50
  6. Step 6: Final answer
    x = 8,601.04

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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.