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Finding the Fourth Proportional to 11,661.02, 17,492.47 and 3,655.24

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Solution

The fourth proportional to 11,661.02, 17,492.47 and 3,655.24 is: 5,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.02 : 17,492.47 = 3,655.24 : x
  2. Step 2: Convert to fraction form
    11,661.02/17,492.47 = 3,655.24/x
  3. Step 3: Cross multiply
    11,661.02x = 17,492.47 × 3,655.24
  4. Step 4: Simplify right side
    11,661.02x = 63,939,176.04
  5. Step 5: Solve for x
    x = 63,939,176.04/11,661.02
  6. Step 6: Final answer
    x = 5,483.15

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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.