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Finding the Fourth Proportional to 10,524, 15,781.58 and 4,676.64

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Solution

The fourth proportional to 10,524, 15,781.58 and 4,676.64 is: 7,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524 : 15,781.58 = 4,676.64 : x
  2. Step 2: Convert to fraction form
    10,524/15,781.58 = 4,676.64/x
  3. Step 3: Cross multiply
    10,524x = 15,781.58 × 4,676.64
  4. Step 4: Simplify right side
    10,524x = 73,804,768.29
  5. Step 5: Solve for x
    x = 73,804,768.29/10,524
  6. Step 6: Final answer
    x = 7,013.00

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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.