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Finding the Fourth Proportional to 10,030, 13,842.04 and 5,614

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Solution

The fourth proportional to 10,030, 13,842.04 and 5,614 is: 7,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 13,842.04 = 5,614 : x
  2. Step 2: Convert to fraction form
    10,030/13,842.04 = 5,614/x
  3. Step 3: Cross multiply
    10,030x = 13,842.04 × 5,614
  4. Step 4: Simplify right side
    10,030x = 77,709,212.56
  5. Step 5: Solve for x
    x = 77,709,212.56/10,030
  6. Step 6: Final answer
    x = 7,747.68

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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.