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Finding the Fourth Proportional to 8,509.47, 12,764.21 and 2,666.53

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Solution

The fourth proportional to 8,509.47, 12,764.21 and 2,666.53 is: 3,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.47 : 12,764.21 = 2,666.53 : x
  2. Step 2: Convert to fraction form
    8,509.47/12,764.21 = 2,666.53/x
  3. Step 3: Cross multiply
    8,509.47x = 12,764.21 × 2,666.53
  4. Step 4: Simplify right side
    8,509.47x = 34,036,151.51
  5. Step 5: Solve for x
    x = 34,036,151.51/8,509.47
  6. Step 6: Final answer
    x = 3,999.80

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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.