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Finding the Fourth Proportional to 10,485.90, 15,704.54 and 6,316.80

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Solution

The fourth proportional to 10,485.90, 15,704.54 and 6,316.80 is: 9,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.90 : 15,704.54 = 6,316.80 : x
  2. Step 2: Convert to fraction form
    10,485.90/15,704.54 = 6,316.80/x
  3. Step 3: Cross multiply
    10,485.90x = 15,704.54 × 6,316.80
  4. Step 4: Simplify right side
    10,485.90x = 99,202,406.69
  5. Step 5: Solve for x
    x = 99,202,406.69/10,485.90
  6. Step 6: Final answer
    x = 9,460.55

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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.