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Finding the Fourth Proportional to 10,362.41, 15,548.22 and 5,430.90

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Solution

The fourth proportional to 10,362.41, 15,548.22 and 5,430.90 is: 8,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.41 : 15,548.22 = 5,430.90 : x
  2. Step 2: Convert to fraction form
    10,362.41/15,548.22 = 5,430.90/x
  3. Step 3: Cross multiply
    10,362.41x = 15,548.22 × 5,430.90
  4. Step 4: Simplify right side
    10,362.41x = 84,440,828.00
  5. Step 5: Solve for x
    x = 84,440,828.00/10,362.41
  6. Step 6: Final answer
    x = 8,148.76

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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.