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Finding the Fourth Proportional to 7,862.05, 10,842.20 and 5,168.51

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Solution

The fourth proportional to 7,862.05, 10,842.20 and 5,168.51 is: 7,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.05 : 10,842.20 = 5,168.51 : x
  2. Step 2: Convert to fraction form
    7,862.05/10,842.20 = 5,168.51/x
  3. Step 3: Cross multiply
    7,862.05x = 10,842.20 × 5,168.51
  4. Step 4: Simplify right side
    7,862.05x = 56,038,019.12
  5. Step 5: Solve for x
    x = 56,038,019.12/7,862.05
  6. Step 6: Final answer
    x = 7,127.66

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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.