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Finding the Fourth Proportional to 10,043.42, 13,859.72 and 5,567.14

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Solution

The fourth proportional to 10,043.42, 13,859.72 and 5,567.14 is: 7,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.42 : 13,859.72 = 5,567.14 : x
  2. Step 2: Convert to fraction form
    10,043.42/13,859.72 = 5,567.14/x
  3. Step 3: Cross multiply
    10,043.42x = 13,859.72 × 5,567.14
  4. Step 4: Simplify right side
    10,043.42x = 77,159,001.60
  5. Step 5: Solve for x
    x = 77,159,001.60/10,043.42
  6. Step 6: Final answer
    x = 7,682.54

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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.