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Finding the Fourth Proportional to 12,146.53, 16,762.06 and 7,113.37

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Solution

The fourth proportional to 12,146.53, 16,762.06 and 7,113.37 is: 9,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.53 : 16,762.06 = 7,113.37 : x
  2. Step 2: Convert to fraction form
    12,146.53/16,762.06 = 7,113.37/x
  3. Step 3: Cross multiply
    12,146.53x = 16,762.06 × 7,113.37
  4. Step 4: Simplify right side
    12,146.53x = 119,234,753.16
  5. Step 5: Solve for x
    x = 119,234,753.16/12,146.53
  6. Step 6: Final answer
    x = 9,816.36

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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.