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Finding the Fourth Proportional to 10,666.64, 15,999.93 and 3,741.14

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Solution

The fourth proportional to 10,666.64, 15,999.93 and 3,741.14 is: 5,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.64 : 15,999.93 = 3,741.14 : x
  2. Step 2: Convert to fraction form
    10,666.64/15,999.93 = 3,741.14/x
  3. Step 3: Cross multiply
    10,666.64x = 15,999.93 × 3,741.14
  4. Step 4: Simplify right side
    10,666.64x = 59,857,978.12
  5. Step 5: Solve for x
    x = 59,857,978.12/10,666.64
  6. Step 6: Final answer
    x = 5,611.70

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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.