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Finding the Fourth Proportional to 7,309.20, 10,963.70 and 1,762.50

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Solution

The fourth proportional to 7,309.20, 10,963.70 and 1,762.50 is: 2,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.20 : 10,963.70 = 1,762.50 : x
  2. Step 2: Convert to fraction form
    7,309.20/10,963.70 = 1,762.50/x
  3. Step 3: Cross multiply
    7,309.20x = 10,963.70 × 1,762.50
  4. Step 4: Simplify right side
    7,309.20x = 19,323,459.82
  5. Step 5: Solve for x
    x = 19,323,459.82/7,309.20
  6. Step 6: Final answer
    x = 2,643.72

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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.