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Finding the Fourth Proportional to 10,175.86, 14,028.24 and 7,482.34

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Solution

The fourth proportional to 10,175.86, 14,028.24 and 7,482.34 is: 10,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.86 : 14,028.24 = 7,482.34 : x
  2. Step 2: Convert to fraction form
    10,175.86/14,028.24 = 7,482.34/x
  3. Step 3: Cross multiply
    10,175.86x = 14,028.24 × 7,482.34
  4. Step 4: Simplify right side
    10,175.86x = 104,964,064.79
  5. Step 5: Solve for x
    x = 104,964,064.79/10,175.86
  6. Step 6: Final answer
    x = 10,315.01

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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.