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Finding the Fourth Proportional to 10,775.56, 14,853.33 and 9,871.60

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Solution

The fourth proportional to 10,775.56, 14,853.33 and 9,871.60 is: 13,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.56 : 14,853.33 = 9,871.60 : x
  2. Step 2: Convert to fraction form
    10,775.56/14,853.33 = 9,871.60/x
  3. Step 3: Cross multiply
    10,775.56x = 14,853.33 × 9,871.60
  4. Step 4: Simplify right side
    10,775.56x = 146,626,132.43
  5. Step 5: Solve for x
    x = 146,626,132.43/10,775.56
  6. Step 6: Final answer
    x = 13,607.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.