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Finding the Fourth Proportional to 7,309.51, 10,969.94 and 2,927.41

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Solution

The fourth proportional to 7,309.51, 10,969.94 and 2,927.41 is: 4,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.51 : 10,969.94 = 2,927.41 : x
  2. Step 2: Convert to fraction form
    7,309.51/10,969.94 = 2,927.41/x
  3. Step 3: Cross multiply
    7,309.51x = 10,969.94 × 2,927.41
  4. Step 4: Simplify right side
    7,309.51x = 32,113,497.42
  5. Step 5: Solve for x
    x = 32,113,497.42/7,309.51
  6. Step 6: Final answer
    x = 4,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.