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Finding the Fourth Proportional to 10,309.53, 14,230.58 and 7,334

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Solution

The fourth proportional to 10,309.53, 14,230.58 and 7,334 is: 10,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.53 : 14,230.58 = 7,334 : x
  2. Step 2: Convert to fraction form
    10,309.53/14,230.58 = 7,334/x
  3. Step 3: Cross multiply
    10,309.53x = 14,230.58 × 7,334
  4. Step 4: Simplify right side
    10,309.53x = 104,367,073.72
  5. Step 5: Solve for x
    x = 104,367,073.72/10,309.53
  6. Step 6: Final answer
    x = 10,123.36

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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.