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Finding the Fourth Proportional to 10,405.83, 14,355.70 and 6,821.65

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Solution

The fourth proportional to 10,405.83, 14,355.70 and 6,821.65 is: 9,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.83 : 14,355.70 = 6,821.65 : x
  2. Step 2: Convert to fraction form
    10,405.83/14,355.70 = 6,821.65/x
  3. Step 3: Cross multiply
    10,405.83x = 14,355.70 × 6,821.65
  4. Step 4: Simplify right side
    10,405.83x = 97,929,561.80
  5. Step 5: Solve for x
    x = 97,929,561.80/10,405.83
  6. Step 6: Final answer
    x = 9,411.03

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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.