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Finding the Fourth Proportional to 10,021.04, 15,014.58 and 7,085

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Solution

The fourth proportional to 10,021.04, 15,014.58 and 7,085 is: 10,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.04 : 15,014.58 = 7,085 : x
  2. Step 2: Convert to fraction form
    10,021.04/15,014.58 = 7,085/x
  3. Step 3: Cross multiply
    10,021.04x = 15,014.58 × 7,085
  4. Step 4: Simplify right side
    10,021.04x = 106,378,299.30
  5. Step 5: Solve for x
    x = 106,378,299.30/10,021.04
  6. Step 6: Final answer
    x = 10,615.49

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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.