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Finding the Fourth Proportional to 10,034.96, 13,848.21 and 5,786

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Solution

The fourth proportional to 10,034.96, 13,848.21 and 5,786 is: 7,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.96 : 13,848.21 = 5,786 : x
  2. Step 2: Convert to fraction form
    10,034.96/13,848.21 = 5,786/x
  3. Step 3: Cross multiply
    10,034.96x = 13,848.21 × 5,786
  4. Step 4: Simplify right side
    10,034.96x = 80,125,743.06
  5. Step 5: Solve for x
    x = 80,125,743.06/10,034.96
  6. Step 6: Final answer
    x = 7,984.66

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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.