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Finding the Fourth Proportional to 10,530.04, 14,531.54 and 5,814.32

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Solution

The fourth proportional to 10,530.04, 14,531.54 and 5,814.32 is: 8,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.04 : 14,531.54 = 5,814.32 : x
  2. Step 2: Convert to fraction form
    10,530.04/14,531.54 = 5,814.32/x
  3. Step 3: Cross multiply
    10,530.04x = 14,531.54 × 5,814.32
  4. Step 4: Simplify right side
    10,530.04x = 84,491,023.65
  5. Step 5: Solve for x
    x = 84,491,023.65/10,530.04
  6. Step 6: Final answer
    x = 8,023.81

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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.