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Finding the Fourth Proportional to 10,478.49, 14,459.94 and 5,762.73

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Solution

The fourth proportional to 10,478.49, 14,459.94 and 5,762.73 is: 7,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.49 : 14,459.94 = 5,762.73 : x
  2. Step 2: Convert to fraction form
    10,478.49/14,459.94 = 5,762.73/x
  3. Step 3: Cross multiply
    10,478.49x = 14,459.94 × 5,762.73
  4. Step 4: Simplify right side
    10,478.49x = 83,328,730.04
  5. Step 5: Solve for x
    x = 83,328,730.04/10,478.49
  6. Step 6: Final answer
    x = 7,952.36

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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.