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Finding the Fourth Proportional to 10,788.56, 14,871.30 and 9,884.60

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Solution

The fourth proportional to 10,788.56, 14,871.30 and 9,884.60 is: 13,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.56 : 14,871.30 = 9,884.60 : x
  2. Step 2: Convert to fraction form
    10,788.56/14,871.30 = 9,884.60/x
  3. Step 3: Cross multiply
    10,788.56x = 14,871.30 × 9,884.60
  4. Step 4: Simplify right side
    10,788.56x = 146,996,851.98
  5. Step 5: Solve for x
    x = 146,996,851.98/10,788.56
  6. Step 6: Final answer
    x = 13,625.25

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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.