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Finding the Fourth Proportional to 10,837, 14,953.86 and 6,120.28

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Solution

The fourth proportional to 10,837, 14,953.86 and 6,120.28 is: 8,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837 : 14,953.86 = 6,120.28 : x
  2. Step 2: Convert to fraction form
    10,837/14,953.86 = 6,120.28/x
  3. Step 3: Cross multiply
    10,837x = 14,953.86 × 6,120.28
  4. Step 4: Simplify right side
    10,837x = 91,521,810.28
  5. Step 5: Solve for x
    x = 91,521,810.28/10,837
  6. Step 6: Final answer
    x = 8,445.31

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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.