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Finding the Fourth Proportional to 10,530.65, 14,532.17 and 6,054.43

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Solution

The fourth proportional to 10,530.65, 14,532.17 and 6,054.43 is: 8,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.65 : 14,532.17 = 6,054.43 : x
  2. Step 2: Convert to fraction form
    10,530.65/14,532.17 = 6,054.43/x
  3. Step 3: Cross multiply
    10,530.65x = 14,532.17 × 6,054.43
  4. Step 4: Simplify right side
    10,530.65x = 87,984,006.01
  5. Step 5: Solve for x
    x = 87,984,006.01/10,530.65
  6. Step 6: Final answer
    x = 8,355.04

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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.