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Finding the Fourth Proportional to 10,762.04, 16,142.64 and 2,970.64

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Solution

The fourth proportional to 10,762.04, 16,142.64 and 2,970.64 is: 4,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.04 : 16,142.64 = 2,970.64 : x
  2. Step 2: Convert to fraction form
    10,762.04/16,142.64 = 2,970.64/x
  3. Step 3: Cross multiply
    10,762.04x = 16,142.64 × 2,970.64
  4. Step 4: Simplify right side
    10,762.04x = 47,953,972.09
  5. Step 5: Solve for x
    x = 47,953,972.09/10,762.04
  6. Step 6: Final answer
    x = 4,455.84

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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.