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Finding the Fourth Proportional to 7,999.10, 11,038.74 and 4,462.40

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Solution

The fourth proportional to 7,999.10, 11,038.74 and 4,462.40 is: 6,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.10 : 11,038.74 = 4,462.40 : x
  2. Step 2: Convert to fraction form
    7,999.10/11,038.74 = 4,462.40/x
  3. Step 3: Cross multiply
    7,999.10x = 11,038.74 × 4,462.40
  4. Step 4: Simplify right side
    7,999.10x = 49,259,273.38
  5. Step 5: Solve for x
    x = 49,259,273.38/7,999.10
  6. Step 6: Final answer
    x = 6,158.10

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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.