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Finding the Fourth Proportional to 8,019, 11,070.54 and 5,539.32

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Solution

The fourth proportional to 8,019, 11,070.54 and 5,539.32 is: 7,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 11,070.54 = 5,539.32 : x
  2. Step 2: Convert to fraction form
    8,019/11,070.54 = 5,539.32/x
  3. Step 3: Cross multiply
    8,019x = 11,070.54 × 5,539.32
  4. Step 4: Simplify right side
    8,019x = 61,323,263.63
  5. Step 5: Solve for x
    x = 61,323,263.63/8,019
  6. Step 6: Final answer
    x = 7,647.25

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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.