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Finding the Fourth Proportional to 10,804, 14,909.53 and 5,836

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Solution

The fourth proportional to 10,804, 14,909.53 and 5,836 is: 8,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804 : 14,909.53 = 5,836 : x
  2. Step 2: Convert to fraction form
    10,804/14,909.53 = 5,836/x
  3. Step 3: Cross multiply
    10,804x = 14,909.53 × 5,836
  4. Step 4: Simplify right side
    10,804x = 87,012,017.08
  5. Step 5: Solve for x
    x = 87,012,017.08/10,804
  6. Step 6: Final answer
    x = 8,053.69

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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.