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Finding the Fourth Proportional to 10,285.34, 15,430.80 and 3,359.84

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Solution

The fourth proportional to 10,285.34, 15,430.80 and 3,359.84 is: 5,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.34 : 15,430.80 = 3,359.84 : x
  2. Step 2: Convert to fraction form
    10,285.34/15,430.80 = 3,359.84/x
  3. Step 3: Cross multiply
    10,285.34x = 15,430.80 × 3,359.84
  4. Step 4: Simplify right side
    10,285.34x = 51,845,019.07
  5. Step 5: Solve for x
    x = 51,845,019.07/10,285.34
  6. Step 6: Final answer
    x = 5,040.67

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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.