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Finding the Fourth Proportional to 10,652.24, 15,978.40 and 3,256.67

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Solution

The fourth proportional to 10,652.24, 15,978.40 and 3,256.67 is: 4,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.24 : 15,978.40 = 3,256.67 : x
  2. Step 2: Convert to fraction form
    10,652.24/15,978.40 = 3,256.67/x
  3. Step 3: Cross multiply
    10,652.24x = 15,978.40 × 3,256.67
  4. Step 4: Simplify right side
    10,652.24x = 52,036,287.89
  5. Step 5: Solve for x
    x = 52,036,287.89/10,652.24
  6. Step 6: Final answer
    x = 4,885.01

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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.