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Finding the Fourth Proportional to 10,767, 14,859.06 and 6,051.57

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Solution

The fourth proportional to 10,767, 14,859.06 and 6,051.57 is: 8,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767 : 14,859.06 = 6,051.57 : x
  2. Step 2: Convert to fraction form
    10,767/14,859.06 = 6,051.57/x
  3. Step 3: Cross multiply
    10,767x = 14,859.06 × 6,051.57
  4. Step 4: Simplify right side
    10,767x = 89,920,641.72
  5. Step 5: Solve for x
    x = 89,920,641.72/10,767
  6. Step 6: Final answer
    x = 8,351.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.