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Finding the Fourth Proportional to 10,478.45, 14,460.00 and 5,698.34

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Solution

The fourth proportional to 10,478.45, 14,460.00 and 5,698.34 is: 7,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.45 : 14,460.00 = 5,698.34 : x
  2. Step 2: Convert to fraction form
    10,478.45/14,460.00 = 5,698.34/x
  3. Step 3: Cross multiply
    10,478.45x = 14,460.00 × 5,698.34
  4. Step 4: Simplify right side
    10,478.45x = 82,397,913.42
  5. Step 5: Solve for x
    x = 82,397,913.42/10,478.45
  6. Step 6: Final answer
    x = 7,863.56

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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.