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Finding the Fourth Proportional to 10,145.63, 14,000.10 and 5,838.86

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Solution

The fourth proportional to 10,145.63, 14,000.10 and 5,838.86 is: 8,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.63 : 14,000.10 = 5,838.86 : x
  2. Step 2: Convert to fraction form
    10,145.63/14,000.10 = 5,838.86/x
  3. Step 3: Cross multiply
    10,145.63x = 14,000.10 × 5,838.86
  4. Step 4: Simplify right side
    10,145.63x = 81,744,623.89
  5. Step 5: Solve for x
    x = 81,744,623.89/10,145.63
  6. Step 6: Final answer
    x = 8,057.13

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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.