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Finding the Fourth Proportional to 12,038.40, 16,610.85 and 7,001.91

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Solution

The fourth proportional to 12,038.40, 16,610.85 and 7,001.91 is: 9,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.40 : 16,610.85 = 7,001.91 : x
  2. Step 2: Convert to fraction form
    12,038.40/16,610.85 = 7,001.91/x
  3. Step 3: Cross multiply
    12,038.40x = 16,610.85 × 7,001.91
  4. Step 4: Simplify right side
    12,038.40x = 116,307,676.72
  5. Step 5: Solve for x
    x = 116,307,676.72/12,038.40
  6. Step 6: Final answer
    x = 9,661.39

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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.