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Finding the Fourth Proportional to 12,148.02, 16,765.44 and 7,111.94

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Solution

The fourth proportional to 12,148.02, 16,765.44 and 7,111.94 is: 9,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.02 : 16,765.44 = 7,111.94 : x
  2. Step 2: Convert to fraction form
    12,148.02/16,765.44 = 7,111.94/x
  3. Step 3: Cross multiply
    12,148.02x = 16,765.44 × 7,111.94
  4. Step 4: Simplify right side
    12,148.02x = 119,234,803.35
  5. Step 5: Solve for x
    x = 119,234,803.35/12,148.02
  6. Step 6: Final answer
    x = 9,815.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.