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Finding the Fourth Proportional to 10,627.02, 14,669.40 and 7,982.10

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Solution

The fourth proportional to 10,627.02, 14,669.40 and 7,982.10 is: 11,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.02 : 14,669.40 = 7,982.10 : x
  2. Step 2: Convert to fraction form
    10,627.02/14,669.40 = 7,982.10/x
  3. Step 3: Cross multiply
    10,627.02x = 14,669.40 × 7,982.10
  4. Step 4: Simplify right side
    10,627.02x = 117,092,617.74
  5. Step 5: Solve for x
    x = 117,092,617.74/10,627.02
  6. Step 6: Final answer
    x = 11,018.39

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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.