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Finding the Fourth Proportional to 10,295.42, 14,207.53 and 5,819.01

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Solution

The fourth proportional to 10,295.42, 14,207.53 and 5,819.01 is: 8,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.42 : 14,207.53 = 5,819.01 : x
  2. Step 2: Convert to fraction form
    10,295.42/14,207.53 = 5,819.01/x
  3. Step 3: Cross multiply
    10,295.42x = 14,207.53 × 5,819.01
  4. Step 4: Simplify right side
    10,295.42x = 82,673,805.74
  5. Step 5: Solve for x
    x = 82,673,805.74/10,295.42
  6. Step 6: Final answer
    x = 8,030.16

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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.