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Finding the Fourth Proportional to 10,573.38, 14,590.14 and 5,857.20

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Solution

The fourth proportional to 10,573.38, 14,590.14 and 5,857.20 is: 8,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.38 : 14,590.14 = 5,857.20 : x
  2. Step 2: Convert to fraction form
    10,573.38/14,590.14 = 5,857.20/x
  3. Step 3: Cross multiply
    10,573.38x = 14,590.14 × 5,857.20
  4. Step 4: Simplify right side
    10,573.38x = 85,457,368.01
  5. Step 5: Solve for x
    x = 85,457,368.01/10,573.38
  6. Step 6: Final answer
    x = 8,082.31

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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.