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Finding the Fourth Proportional to 10,530.05, 14,530.93 and 5,813.42

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Solution

The fourth proportional to 10,530.05, 14,530.93 and 5,813.42 is: 8,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.05 : 14,530.93 = 5,813.42 : x
  2. Step 2: Convert to fraction form
    10,530.05/14,530.93 = 5,813.42/x
  3. Step 3: Cross multiply
    10,530.05x = 14,530.93 × 5,813.42
  4. Step 4: Simplify right side
    10,530.05x = 84,474,311.89
  5. Step 5: Solve for x
    x = 84,474,311.89/10,530.05
  6. Step 6: Final answer
    x = 8,022.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.