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Finding the Fourth Proportional to 10,192.88, 14,066.18 and 5,655.87

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Solution

The fourth proportional to 10,192.88, 14,066.18 and 5,655.87 is: 7,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.88 : 14,066.18 = 5,655.87 : x
  2. Step 2: Convert to fraction form
    10,192.88/14,066.18 = 5,655.87/x
  3. Step 3: Cross multiply
    10,192.88x = 14,066.18 × 5,655.87
  4. Step 4: Simplify right side
    10,192.88x = 79,556,485.48
  5. Step 5: Solve for x
    x = 79,556,485.48/10,192.88
  6. Step 6: Final answer
    x = 7,805.10

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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.