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Finding the Fourth Proportional to 10,348.82, 14,256.03 and 7,507.81

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Solution

The fourth proportional to 10,348.82, 14,256.03 and 7,507.81 is: 10,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.82 : 14,256.03 = 7,507.81 : x
  2. Step 2: Convert to fraction form
    10,348.82/14,256.03 = 7,507.81/x
  3. Step 3: Cross multiply
    10,348.82x = 14,256.03 × 7,507.81
  4. Step 4: Simplify right side
    10,348.82x = 107,031,564.59
  5. Step 5: Solve for x
    x = 107,031,564.59/10,348.82
  6. Step 6: Final answer
    x = 10,342.39

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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.