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Finding the Fourth Proportional to 10,729.40, 14,800.04 and 7,095.44

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Solution

The fourth proportional to 10,729.40, 14,800.04 and 7,095.44 is: 9,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.40 : 14,800.04 = 7,095.44 : x
  2. Step 2: Convert to fraction form
    10,729.40/14,800.04 = 7,095.44/x
  3. Step 3: Cross multiply
    10,729.40x = 14,800.04 × 7,095.44
  4. Step 4: Simplify right side
    10,729.40x = 105,012,797.34
  5. Step 5: Solve for x
    x = 105,012,797.34/10,729.40
  6. Step 6: Final answer
    x = 9,787.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.