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Finding the Fourth Proportional to 7,159.71, 10,735.25 and 3,210.25

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Solution

The fourth proportional to 7,159.71, 10,735.25 and 3,210.25 is: 4,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.71 : 10,735.25 = 3,210.25 : x
  2. Step 2: Convert to fraction form
    7,159.71/10,735.25 = 3,210.25/x
  3. Step 3: Cross multiply
    7,159.71x = 10,735.25 × 3,210.25
  4. Step 4: Simplify right side
    7,159.71x = 34,462,813.55
  5. Step 5: Solve for x
    x = 34,462,813.55/7,159.71
  6. Step 6: Final answer
    x = 4,813.44

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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.