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Finding the Fourth Proportional to 10,431.60, 15,661.80 and 6,543.60

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Solution

The fourth proportional to 10,431.60, 15,661.80 and 6,543.60 is: 9,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.60 : 15,661.80 = 6,543.60 : x
  2. Step 2: Convert to fraction form
    10,431.60/15,661.80 = 6,543.60/x
  3. Step 3: Cross multiply
    10,431.60x = 15,661.80 × 6,543.60
  4. Step 4: Simplify right side
    10,431.60x = 102,484,554.48
  5. Step 5: Solve for x
    x = 102,484,554.48/10,431.60
  6. Step 6: Final answer
    x = 9,824.43

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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.