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Finding the Fourth Proportional to 10,192.79, 14,065.83 and 5,655.22

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Solution

The fourth proportional to 10,192.79, 14,065.83 and 5,655.22 is: 7,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.79 : 14,065.83 = 5,655.22 : x
  2. Step 2: Convert to fraction form
    10,192.79/14,065.83 = 5,655.22/x
  3. Step 3: Cross multiply
    10,192.79x = 14,065.83 × 5,655.22
  4. Step 4: Simplify right side
    10,192.79x = 79,545,312.06
  5. Step 5: Solve for x
    x = 79,545,312.06/10,192.79
  6. Step 6: Final answer
    x = 7,804.08

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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.