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Finding the Fourth Proportional to 11,666.79, 17,499.47 and 4,741.11

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Solution

The fourth proportional to 11,666.79, 17,499.47 and 4,741.11 is: 7,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.79 : 17,499.47 = 4,741.11 : x
  2. Step 2: Convert to fraction form
    11,666.79/17,499.47 = 4,741.11/x
  3. Step 3: Cross multiply
    11,666.79x = 17,499.47 × 4,741.11
  4. Step 4: Simplify right side
    11,666.79x = 82,966,888.51
  5. Step 5: Solve for x
    x = 82,966,888.51/11,666.79
  6. Step 6: Final answer
    x = 7,111.37

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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.