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Finding the Fourth Proportional to 10,130.10, 13,964.22 and 7,888.02

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Solution

The fourth proportional to 10,130.10, 13,964.22 and 7,888.02 is: 10,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.10 : 13,964.22 = 7,888.02 : x
  2. Step 2: Convert to fraction form
    10,130.10/13,964.22 = 7,888.02/x
  3. Step 3: Cross multiply
    10,130.10x = 13,964.22 × 7,888.02
  4. Step 4: Simplify right side
    10,130.10x = 110,150,046.64
  5. Step 5: Solve for x
    x = 110,150,046.64/10,130.10
  6. Step 6: Final answer
    x = 10,873.54

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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.