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Finding the Fourth Proportional to 10,458.69, 14,430.51 and 5,921.43

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Solution

The fourth proportional to 10,458.69, 14,430.51 and 5,921.43 is: 8,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.69 : 14,430.51 = 5,921.43 : x
  2. Step 2: Convert to fraction form
    10,458.69/14,430.51 = 5,921.43/x
  3. Step 3: Cross multiply
    10,458.69x = 14,430.51 × 5,921.43
  4. Step 4: Simplify right side
    10,458.69x = 85,449,254.83
  5. Step 5: Solve for x
    x = 85,449,254.83/10,458.69
  6. Step 6: Final answer
    x = 8,170.17

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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.