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Finding the Fourth Proportional to 10,044, 13,860.72 and 5,628

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Solution

The fourth proportional to 10,044, 13,860.72 and 5,628 is: 7,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 13,860.72 = 5,628 : x
  2. Step 2: Convert to fraction form
    10,044/13,860.72 = 5,628/x
  3. Step 3: Cross multiply
    10,044x = 13,860.72 × 5,628
  4. Step 4: Simplify right side
    10,044x = 78,008,132.16
  5. Step 5: Solve for x
    x = 78,008,132.16/10,044
  6. Step 6: Final answer
    x = 7,766.64

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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.