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Finding the Fourth Proportional to 11,055.64, 16,566.16 and 6,943

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Solution

The fourth proportional to 11,055.64, 16,566.16 and 6,943 is: 10,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.64 : 16,566.16 = 6,943 : x
  2. Step 2: Convert to fraction form
    11,055.64/16,566.16 = 6,943/x
  3. Step 3: Cross multiply
    11,055.64x = 16,566.16 × 6,943
  4. Step 4: Simplify right side
    11,055.64x = 115,018,848.88
  5. Step 5: Solve for x
    x = 115,018,848.88/11,055.64
  6. Step 6: Final answer
    x = 10,403.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.