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Finding the Fourth Proportional to 11,607.45, 16,009.02 and 7,632.65

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Solution

The fourth proportional to 11,607.45, 16,009.02 and 7,632.65 is: 10,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.45 : 16,009.02 = 7,632.65 : x
  2. Step 2: Convert to fraction form
    11,607.45/16,009.02 = 7,632.65/x
  3. Step 3: Cross multiply
    11,607.45x = 16,009.02 × 7,632.65
  4. Step 4: Simplify right side
    11,607.45x = 122,191,166.46
  5. Step 5: Solve for x
    x = 122,191,166.46/11,607.45
  6. Step 6: Final answer
    x = 10,526.96

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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.