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Finding the Fourth Proportional to 10,652.34, 15,978.11 and 4,410.75

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Solution

The fourth proportional to 10,652.34, 15,978.11 and 4,410.75 is: 6,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.34 : 15,978.11 = 4,410.75 : x
  2. Step 2: Convert to fraction form
    10,652.34/15,978.11 = 4,410.75/x
  3. Step 3: Cross multiply
    10,652.34x = 15,978.11 × 4,410.75
  4. Step 4: Simplify right side
    10,652.34x = 70,475,426.63
  5. Step 5: Solve for x
    x = 70,475,426.63/10,652.34
  6. Step 6: Final answer
    x = 6,615.96

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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.