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Finding the Fourth Proportional to 10,762.65, 16,144.90 and 2,971.46

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Solution

The fourth proportional to 10,762.65, 16,144.90 and 2,971.46 is: 4,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.65 : 16,144.90 = 2,971.46 : x
  2. Step 2: Convert to fraction form
    10,762.65/16,144.90 = 2,971.46/x
  3. Step 3: Cross multiply
    10,762.65x = 16,144.90 × 2,971.46
  4. Step 4: Simplify right side
    10,762.65x = 47,973,924.55
  5. Step 5: Solve for x
    x = 47,973,924.55/10,762.65
  6. Step 6: Final answer
    x = 4,457.45

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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.