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Finding the Fourth Proportional to 10,347.93, 14,274.09 and 7,512

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Solution

The fourth proportional to 10,347.93, 14,274.09 and 7,512 is: 10,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.93 : 14,274.09 = 7,512 : x
  2. Step 2: Convert to fraction form
    10,347.93/14,274.09 = 7,512/x
  3. Step 3: Cross multiply
    10,347.93x = 14,274.09 × 7,512
  4. Step 4: Simplify right side
    10,347.93x = 107,226,964.08
  5. Step 5: Solve for x
    x = 107,226,964.08/10,347.93
  6. Step 6: Final answer
    x = 10,362.17

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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.