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Finding the Fourth Proportional to 10,145.51, 13,999.10 and 5,669.15

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Solution

The fourth proportional to 10,145.51, 13,999.10 and 5,669.15 is: 7,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.51 : 13,999.10 = 5,669.15 : x
  2. Step 2: Convert to fraction form
    10,145.51/13,999.10 = 5,669.15/x
  3. Step 3: Cross multiply
    10,145.51x = 13,999.10 × 5,669.15
  4. Step 4: Simplify right side
    10,145.51x = 79,362,899.42
  5. Step 5: Solve for x
    x = 79,362,899.42/10,145.51
  6. Step 6: Final answer
    x = 7,822.47

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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.