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Finding the Fourth Proportional to 10,596.21, 14,624.72 and 6,818.77

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Solution

The fourth proportional to 10,596.21, 14,624.72 and 6,818.77 is: 9,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.21 : 14,624.72 = 6,818.77 : x
  2. Step 2: Convert to fraction form
    10,596.21/14,624.72 = 6,818.77/x
  3. Step 3: Cross multiply
    10,596.21x = 14,624.72 × 6,818.77
  4. Step 4: Simplify right side
    10,596.21x = 99,722,601.99
  5. Step 5: Solve for x
    x = 99,722,601.99/10,596.21
  6. Step 6: Final answer
    x = 9,411.16

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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.