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Finding the Fourth Proportional to 10,971.76, 16,459.35 and 3,574.50

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Solution

The fourth proportional to 10,971.76, 16,459.35 and 3,574.50 is: 5,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.76 : 16,459.35 = 3,574.50 : x
  2. Step 2: Convert to fraction form
    10,971.76/16,459.35 = 3,574.50/x
  3. Step 3: Cross multiply
    10,971.76x = 16,459.35 × 3,574.50
  4. Step 4: Simplify right side
    10,971.76x = 58,833,846.41
  5. Step 5: Solve for x
    x = 58,833,846.41/10,971.76
  6. Step 6: Final answer
    x = 5,362.30

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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.