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Finding the Fourth Proportional to 10,497.63, 14,486.54 and 5,781.81

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Solution

The fourth proportional to 10,497.63, 14,486.54 and 5,781.81 is: 7,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.63 : 14,486.54 = 5,781.81 : x
  2. Step 2: Convert to fraction form
    10,497.63/14,486.54 = 5,781.81/x
  3. Step 3: Cross multiply
    10,497.63x = 14,486.54 × 5,781.81
  4. Step 4: Simplify right side
    10,497.63x = 83,758,392.93
  5. Step 5: Solve for x
    x = 83,758,392.93/10,497.63
  6. Step 6: Final answer
    x = 7,978.79

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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.