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Finding the Fourth Proportional to 10,655.65, 14,706.21 and 6,120.12

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Solution

The fourth proportional to 10,655.65, 14,706.21 and 6,120.12 is: 8,446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.65 : 14,706.21 = 6,120.12 : x
  2. Step 2: Convert to fraction form
    10,655.65/14,706.21 = 6,120.12/x
  3. Step 3: Cross multiply
    10,655.65x = 14,706.21 × 6,120.12
  4. Step 4: Simplify right side
    10,655.65x = 90,003,769.95
  5. Step 5: Solve for x
    x = 90,003,769.95/10,655.65
  6. Step 6: Final answer
    x = 8,446.58

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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.