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Finding the Fourth Proportional to 12,764.16, 19,143.84 and 3,528

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Solution

The fourth proportional to 12,764.16, 19,143.84 and 3,528 is: 5,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.16 : 19,143.84 = 3,528 : x
  2. Step 2: Convert to fraction form
    12,764.16/19,143.84 = 3,528/x
  3. Step 3: Cross multiply
    12,764.16x = 19,143.84 × 3,528
  4. Step 4: Simplify right side
    12,764.16x = 67,539,467.52
  5. Step 5: Solve for x
    x = 67,539,467.52/12,764.16
  6. Step 6: Final answer
    x = 5,291.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.