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Finding the Fourth Proportional to 11,947.04, 16,494.40 and 7,700

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Solution

The fourth proportional to 11,947.04, 16,494.40 and 7,700 is: 10,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.04 : 16,494.40 = 7,700 : x
  2. Step 2: Convert to fraction form
    11,947.04/16,494.40 = 7,700/x
  3. Step 3: Cross multiply
    11,947.04x = 16,494.40 × 7,700
  4. Step 4: Simplify right side
    11,947.04x = 127,006,880.00
  5. Step 5: Solve for x
    x = 127,006,880.00/11,947.04
  6. Step 6: Final answer
    x = 10,630.82

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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.