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Finding the Fourth Proportional to 11,287.60, 15,577.86 and 6,572.32

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Solution

The fourth proportional to 11,287.60, 15,577.86 and 6,572.32 is: 9,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.60 : 15,577.86 = 6,572.32 : x
  2. Step 2: Convert to fraction form
    11,287.60/15,577.86 = 6,572.32/x
  3. Step 3: Cross multiply
    11,287.60x = 15,577.86 × 6,572.32
  4. Step 4: Simplify right side
    11,287.60x = 102,382,680.84
  5. Step 5: Solve for x
    x = 102,382,680.84/11,287.60
  6. Step 6: Final answer
    x = 9,070.37

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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.