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Finding the Fourth Proportional to 10,529.80, 14,529.78 and 6,054.28

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Solution

The fourth proportional to 10,529.80, 14,529.78 and 6,054.28 is: 8,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.80 : 14,529.78 = 6,054.28 : x
  2. Step 2: Convert to fraction form
    10,529.80/14,529.78 = 6,054.28/x
  3. Step 3: Cross multiply
    10,529.80x = 14,529.78 × 6,054.28
  4. Step 4: Simplify right side
    10,529.80x = 87,967,356.46
  5. Step 5: Solve for x
    x = 87,967,356.46/10,529.80
  6. Step 6: Final answer
    x = 8,354.13

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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.