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Finding the Fourth Proportional to 10,480.95, 14,462.92 and 5,765.54

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Solution

The fourth proportional to 10,480.95, 14,462.92 and 5,765.54 is: 7,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.95 : 14,462.92 = 5,765.54 : x
  2. Step 2: Convert to fraction form
    10,480.95/14,462.92 = 5,765.54/x
  3. Step 3: Cross multiply
    10,480.95x = 14,462.92 × 5,765.54
  4. Step 4: Simplify right side
    10,480.95x = 83,386,478.67
  5. Step 5: Solve for x
    x = 83,386,478.67/10,480.95
  6. Step 6: Final answer
    x = 7,956.00

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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.