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Finding the Fourth Proportional to 10,645.93, 14,691.40 and 5,800.63

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Solution

The fourth proportional to 10,645.93, 14,691.40 and 5,800.63 is: 8,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.93 : 14,691.40 = 5,800.63 : x
  2. Step 2: Convert to fraction form
    10,645.93/14,691.40 = 5,800.63/x
  3. Step 3: Cross multiply
    10,645.93x = 14,691.40 × 5,800.63
  4. Step 4: Simplify right side
    10,645.93x = 85,219,397.81
  5. Step 5: Solve for x
    x = 85,219,397.81/10,645.93
  6. Step 6: Final answer
    x = 8,004.88

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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.