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Finding the Fourth Proportional to 10,191.88, 14,064.80 and 5,654.87

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Solution

The fourth proportional to 10,191.88, 14,064.80 and 5,654.87 is: 7,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.88 : 14,064.80 = 5,654.87 : x
  2. Step 2: Convert to fraction form
    10,191.88/14,064.80 = 5,654.87/x
  3. Step 3: Cross multiply
    10,191.88x = 14,064.80 × 5,654.87
  4. Step 4: Simplify right side
    10,191.88x = 79,534,615.58
  5. Step 5: Solve for x
    x = 79,534,615.58/10,191.88
  6. Step 6: Final answer
    x = 7,803.72

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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.