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Finding the Fourth Proportional to 10,853.98, 16,362.31 and 10,130.64

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Solution

The fourth proportional to 10,853.98, 16,362.31 and 10,130.64 is: 15,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.98 : 16,362.31 = 10,130.64 : x
  2. Step 2: Convert to fraction form
    10,853.98/16,362.31 = 10,130.64/x
  3. Step 3: Cross multiply
    10,853.98x = 16,362.31 × 10,130.64
  4. Step 4: Simplify right side
    10,853.98x = 165,760,672.18
  5. Step 5: Solve for x
    x = 165,760,672.18/10,853.98
  6. Step 6: Final answer
    x = 15,271.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.