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Finding the Fourth Proportional to 10,530.45, 14,532.02 and 5,814.74

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Solution

The fourth proportional to 10,530.45, 14,532.02 and 5,814.74 is: 8,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.45 : 14,532.02 = 5,814.74 : x
  2. Step 2: Convert to fraction form
    10,530.45/14,532.02 = 5,814.74/x
  3. Step 3: Cross multiply
    10,530.45x = 14,532.02 × 5,814.74
  4. Step 4: Simplify right side
    10,530.45x = 84,499,816.24
  5. Step 5: Solve for x
    x = 84,499,816.24/10,530.45
  6. Step 6: Final answer
    x = 8,024.33

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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.