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Finding the Fourth Proportional to 11,565.21, 15,959.40 and 6,460.38

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Solution

The fourth proportional to 11,565.21, 15,959.40 and 6,460.38 is: 8,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.21 : 15,959.40 = 6,460.38 : x
  2. Step 2: Convert to fraction form
    11,565.21/15,959.40 = 6,460.38/x
  3. Step 3: Cross multiply
    11,565.21x = 15,959.40 × 6,460.38
  4. Step 4: Simplify right side
    11,565.21x = 103,103,788.57
  5. Step 5: Solve for x
    x = 103,103,788.57/11,565.21
  6. Step 6: Final answer
    x = 8,914.99

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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.