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Finding the Fourth Proportional to 10,819, 14,931.72 and 6,344.54

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Solution

The fourth proportional to 10,819, 14,931.72 and 6,344.54 is: 8,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819 : 14,931.72 = 6,344.54 : x
  2. Step 2: Convert to fraction form
    10,819/14,931.72 = 6,344.54/x
  3. Step 3: Cross multiply
    10,819x = 14,931.72 × 6,344.54
  4. Step 4: Simplify right side
    10,819x = 94,734,894.81
  5. Step 5: Solve for x
    x = 94,734,894.81/10,819
  6. Step 6: Final answer
    x = 8,756.34

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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.