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Finding the Fourth Proportional to 10,468.40, 14,433.46 and 7,483.14

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Solution

The fourth proportional to 10,468.40, 14,433.46 and 7,483.14 is: 10,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.40 : 14,433.46 = 7,483.14 : x
  2. Step 2: Convert to fraction form
    10,468.40/14,433.46 = 7,483.14/x
  3. Step 3: Cross multiply
    10,468.40x = 14,433.46 × 7,483.14
  4. Step 4: Simplify right side
    10,468.40x = 108,007,583.16
  5. Step 5: Solve for x
    x = 108,007,583.16/10,468.40
  6. Step 6: Final answer
    x = 10,317.49

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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.