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Finding the Fourth Proportional to 13,002.08, 17,941.68 and 7,964

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Solution

The fourth proportional to 13,002.08, 17,941.68 and 7,964 is: 10,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.08 : 17,941.68 = 7,964 : x
  2. Step 2: Convert to fraction form
    13,002.08/17,941.68 = 7,964/x
  3. Step 3: Cross multiply
    13,002.08x = 17,941.68 × 7,964
  4. Step 4: Simplify right side
    13,002.08x = 142,887,539.52
  5. Step 5: Solve for x
    x = 142,887,539.52/13,002.08
  6. Step 6: Final answer
    x = 10,989.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.