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Finding the Fourth Proportional to 7,349.51, 10,142.35 and 3,992.38

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Solution

The fourth proportional to 7,349.51, 10,142.35 and 3,992.38 is: 5,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.51 : 10,142.35 = 3,992.38 : x
  2. Step 2: Convert to fraction form
    7,349.51/10,142.35 = 3,992.38/x
  3. Step 3: Cross multiply
    7,349.51x = 10,142.35 × 3,992.38
  4. Step 4: Simplify right side
    7,349.51x = 40,492,079.96
  5. Step 5: Solve for x
    x = 40,492,079.96/7,349.51
  6. Step 6: Final answer
    x = 5,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.