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Finding the Fourth Proportional to 12,835.87, 17,707.87 and 7,528.29

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Solution

The fourth proportional to 12,835.87, 17,707.87 and 7,528.29 is: 10,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.87 : 17,707.87 = 7,528.29 : x
  2. Step 2: Convert to fraction form
    12,835.87/17,707.87 = 7,528.29/x
  3. Step 3: Cross multiply
    12,835.87x = 17,707.87 × 7,528.29
  4. Step 4: Simplify right side
    12,835.87x = 133,309,980.91
  5. Step 5: Solve for x
    x = 133,309,980.91/12,835.87
  6. Step 6: Final answer
    x = 10,385.74

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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.