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Finding the Fourth Proportional to 10,529.91, 14,532.04 and 6,055.07

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Solution

The fourth proportional to 10,529.91, 14,532.04 and 6,055.07 is: 8,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.91 : 14,532.04 = 6,055.07 : x
  2. Step 2: Convert to fraction form
    10,529.91/14,532.04 = 6,055.07/x
  3. Step 3: Cross multiply
    10,529.91x = 14,532.04 × 6,055.07
  4. Step 4: Simplify right side
    10,529.91x = 87,992,454.35
  5. Step 5: Solve for x
    x = 87,992,454.35/10,529.91
  6. Step 6: Final answer
    x = 8,356.43

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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.