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Finding the Fourth Proportional to 10,483.68, 14,467.48 and 5,768.12

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Solution

The fourth proportional to 10,483.68, 14,467.48 and 5,768.12 is: 7,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.68 : 14,467.48 = 5,768.12 : x
  2. Step 2: Convert to fraction form
    10,483.68/14,467.48 = 5,768.12/x
  3. Step 3: Cross multiply
    10,483.68x = 14,467.48 × 5,768.12
  4. Step 4: Simplify right side
    10,483.68x = 83,450,160.74
  5. Step 5: Solve for x
    x = 83,450,160.74/10,483.68
  6. Step 6: Final answer
    x = 7,960.01

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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.