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Finding the Fourth Proportional to 10,507.40, 15,764.70 and 4,668.20

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Solution

The fourth proportional to 10,507.40, 15,764.70 and 4,668.20 is: 7,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.40 : 15,764.70 = 4,668.20 : x
  2. Step 2: Convert to fraction form
    10,507.40/15,764.70 = 4,668.20/x
  3. Step 3: Cross multiply
    10,507.40x = 15,764.70 × 4,668.20
  4. Step 4: Simplify right side
    10,507.40x = 73,592,772.54
  5. Step 5: Solve for x
    x = 73,592,772.54/10,507.40
  6. Step 6: Final answer
    x = 7,003.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.