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Finding the Fourth Proportional to 12,856.64, 17,741.60 and 7,552

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Solution

The fourth proportional to 12,856.64, 17,741.60 and 7,552 is: 10,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.64 : 17,741.60 = 7,552 : x
  2. Step 2: Convert to fraction form
    12,856.64/17,741.60 = 7,552/x
  3. Step 3: Cross multiply
    12,856.64x = 17,741.60 × 7,552
  4. Step 4: Simplify right side
    12,856.64x = 133,984,563.20
  5. Step 5: Solve for x
    x = 133,984,563.20/12,856.64
  6. Step 6: Final answer
    x = 10,421.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.