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Finding the Fourth Proportional to 10,420.16, 15,602.40 and 6,516.80

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Solution

The fourth proportional to 10,420.16, 15,602.40 and 6,516.80 is: 9,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.16 : 15,602.40 = 6,516.80 : x
  2. Step 2: Convert to fraction form
    10,420.16/15,602.40 = 6,516.80/x
  3. Step 3: Cross multiply
    10,420.16x = 15,602.40 × 6,516.80
  4. Step 4: Simplify right side
    10,420.16x = 101,677,720.32
  5. Step 5: Solve for x
    x = 101,677,720.32/10,420.16
  6. Step 6: Final answer
    x = 9,757.79

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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.