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Finding the Fourth Proportional to 10,104, 13,943.52 and 5,688

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Solution

The fourth proportional to 10,104, 13,943.52 and 5,688 is: 7,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104 : 13,943.52 = 5,688 : x
  2. Step 2: Convert to fraction form
    10,104/13,943.52 = 5,688/x
  3. Step 3: Cross multiply
    10,104x = 13,943.52 × 5,688
  4. Step 4: Simplify right side
    10,104x = 79,310,741.76
  5. Step 5: Solve for x
    x = 79,310,741.76/10,104
  6. Step 6: Final answer
    x = 7,849.44

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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.