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Finding the Fourth Proportional to 8,669.64, 12,992.28 and 4,966.32

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Solution

The fourth proportional to 8,669.64, 12,992.28 and 4,966.32 is: 7,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.64 : 12,992.28 = 4,966.32 : x
  2. Step 2: Convert to fraction form
    8,669.64/12,992.28 = 4,966.32/x
  3. Step 3: Cross multiply
    8,669.64x = 12,992.28 × 4,966.32
  4. Step 4: Simplify right side
    8,669.64x = 64,523,820.01
  5. Step 5: Solve for x
    x = 64,523,820.01/8,669.64
  6. Step 6: Final answer
    x = 7,442.50

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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.