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Finding the Fourth Proportional to 10,530.09, 14,530.19 and 5,814.09

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Solution

The fourth proportional to 10,530.09, 14,530.19 and 5,814.09 is: 8,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.09 : 14,530.19 = 5,814.09 : x
  2. Step 2: Convert to fraction form
    10,530.09/14,530.19 = 5,814.09/x
  3. Step 3: Cross multiply
    10,530.09x = 14,530.19 × 5,814.09
  4. Step 4: Simplify right side
    10,530.09x = 84,479,803.31
  5. Step 5: Solve for x
    x = 84,479,803.31/10,530.09
  6. Step 6: Final answer
    x = 8,022.70

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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.