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Finding the Fourth Proportional to 11,705.15, 17,565.93 and 6,768

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Solution

The fourth proportional to 11,705.15, 17,565.93 and 6,768 is: 10,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.15 : 17,565.93 = 6,768 : x
  2. Step 2: Convert to fraction form
    11,705.15/17,565.93 = 6,768/x
  3. Step 3: Cross multiply
    11,705.15x = 17,565.93 × 6,768
  4. Step 4: Simplify right side
    11,705.15x = 118,886,214.24
  5. Step 5: Solve for x
    x = 118,886,214.24/11,705.15
  6. Step 6: Final answer
    x = 10,156.75

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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.