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Finding the Fourth Proportional to 11,666.61, 17,502.60 and 3,660.94

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Solution

The fourth proportional to 11,666.61, 17,502.60 and 3,660.94 is: 5,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.61 : 17,502.60 = 3,660.94 : x
  2. Step 2: Convert to fraction form
    11,666.61/17,502.60 = 3,660.94/x
  3. Step 3: Cross multiply
    11,666.61x = 17,502.60 × 3,660.94
  4. Step 4: Simplify right side
    11,666.61x = 64,075,880.93
  5. Step 5: Solve for x
    x = 64,075,880.93/11,666.61
  6. Step 6: Final answer
    x = 5,492.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.