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Finding the Fourth Proportional to 10,353.36, 15,526.80 and 5,420.40

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Solution

The fourth proportional to 10,353.36, 15,526.80 and 5,420.40 is: 8,128.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.36 : 15,526.80 = 5,420.40 : x
  2. Step 2: Convert to fraction form
    10,353.36/15,526.80 = 5,420.40/x
  3. Step 3: Cross multiply
    10,353.36x = 15,526.80 × 5,420.40
  4. Step 4: Simplify right side
    10,353.36x = 84,161,466.72
  5. Step 5: Solve for x
    x = 84,161,466.72/10,353.36
  6. Step 6: Final answer
    x = 8,128.90

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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.