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Finding the Fourth Proportional to 10,047.66, 15,070.01 and 2,652.64

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Solution

The fourth proportional to 10,047.66, 15,070.01 and 2,652.64 is: 3,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.66 : 15,070.01 = 2,652.64 : x
  2. Step 2: Convert to fraction form
    10,047.66/15,070.01 = 2,652.64/x
  3. Step 3: Cross multiply
    10,047.66x = 15,070.01 × 2,652.64
  4. Step 4: Simplify right side
    10,047.66x = 39,975,311.33
  5. Step 5: Solve for x
    x = 39,975,311.33/10,047.66
  6. Step 6: Final answer
    x = 3,978.57

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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.