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Finding the Fourth Proportional to 10,540.14, 14,548.05 and 6,953.46

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Solution

The fourth proportional to 10,540.14, 14,548.05 and 6,953.46 is: 9,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.14 : 14,548.05 = 6,953.46 : x
  2. Step 2: Convert to fraction form
    10,540.14/14,548.05 = 6,953.46/x
  3. Step 3: Cross multiply
    10,540.14x = 14,548.05 × 6,953.46
  4. Step 4: Simplify right side
    10,540.14x = 101,159,283.75
  5. Step 5: Solve for x
    x = 101,159,283.75/10,540.14
  6. Step 6: Final answer
    x = 9,597.53

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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.