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Finding the Fourth Proportional to 10,045.74, 13,860.38 and 6,269.51

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Solution

The fourth proportional to 10,045.74, 13,860.38 and 6,269.51 is: 8,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.74 : 13,860.38 = 6,269.51 : x
  2. Step 2: Convert to fraction form
    10,045.74/13,860.38 = 6,269.51/x
  3. Step 3: Cross multiply
    10,045.74x = 13,860.38 × 6,269.51
  4. Step 4: Simplify right side
    10,045.74x = 86,897,690.36
  5. Step 5: Solve for x
    x = 86,897,690.36/10,045.74
  6. Step 6: Final answer
    x = 8,650.20

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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.