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Finding the Fourth Proportional to 8,054, 11,114.54 and 4,699.12

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Solution

The fourth proportional to 8,054, 11,114.54 and 4,699.12 is: 6,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054 : 11,114.54 = 4,699.12 : x
  2. Step 2: Convert to fraction form
    8,054/11,114.54 = 4,699.12/x
  3. Step 3: Cross multiply
    8,054x = 11,114.54 × 4,699.12
  4. Step 4: Simplify right side
    8,054x = 52,228,557.20
  5. Step 5: Solve for x
    x = 52,228,557.20/8,054
  6. Step 6: Final answer
    x = 6,484.80

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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.