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Finding the Fourth Proportional to 15,076.16, 22,606.92 and 5,212

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Solution

The fourth proportional to 15,076.16, 22,606.92 and 5,212 is: 7,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.16 : 22,606.92 = 5,212 : x
  2. Step 2: Convert to fraction form
    15,076.16/22,606.92 = 5,212/x
  3. Step 3: Cross multiply
    15,076.16x = 22,606.92 × 5,212
  4. Step 4: Simplify right side
    15,076.16x = 117,827,267.04
  5. Step 5: Solve for x
    x = 117,827,267.04/15,076.16
  6. Step 6: Final answer
    x = 7,815.47

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