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Finding the Fourth Proportional to 10,211.70, 15,317.04 and 4,287.06

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Solution

The fourth proportional to 10,211.70, 15,317.04 and 4,287.06 is: 6,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.70 : 15,317.04 = 4,287.06 : x
  2. Step 2: Convert to fraction form
    10,211.70/15,317.04 = 4,287.06/x
  3. Step 3: Cross multiply
    10,211.70x = 15,317.04 × 4,287.06
  4. Step 4: Simplify right side
    10,211.70x = 65,665,069.50
  5. Step 5: Solve for x
    x = 65,665,069.50/10,211.70
  6. Step 6: Final answer
    x = 6,430.38

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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.