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Finding the Fourth Proportional to 11,133.42, 16,693.65 and 7,666.62

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Solution

The fourth proportional to 11,133.42, 16,693.65 and 7,666.62 is: 11,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.42 : 16,693.65 = 7,666.62 : x
  2. Step 2: Convert to fraction form
    11,133.42/16,693.65 = 7,666.62/x
  3. Step 3: Cross multiply
    11,133.42x = 16,693.65 × 7,666.62
  4. Step 4: Simplify right side
    11,133.42x = 127,983,870.96
  5. Step 5: Solve for x
    x = 127,983,870.96/11,133.42
  6. Step 6: Final answer
    x = 11,495.47

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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.