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Finding the Fourth Proportional to 10,478.62, 14,460.21 and 5,762.90

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Solution

The fourth proportional to 10,478.62, 14,460.21 and 5,762.90 is: 7,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.62 : 14,460.21 = 5,762.90 : x
  2. Step 2: Convert to fraction form
    10,478.62/14,460.21 = 5,762.90/x
  3. Step 3: Cross multiply
    10,478.62x = 14,460.21 × 5,762.90
  4. Step 4: Simplify right side
    10,478.62x = 83,332,744.21
  5. Step 5: Solve for x
    x = 83,332,744.21/10,478.62
  6. Step 6: Final answer
    x = 7,952.64

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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.