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Finding the Fourth Proportional to 12,509.14, 17,259.60 and 7,790.08

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Solution

The fourth proportional to 12,509.14, 17,259.60 and 7,790.08 is: 10,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.14 : 17,259.60 = 7,790.08 : x
  2. Step 2: Convert to fraction form
    12,509.14/17,259.60 = 7,790.08/x
  3. Step 3: Cross multiply
    12,509.14x = 17,259.60 × 7,790.08
  4. Step 4: Simplify right side
    12,509.14x = 134,453,664.77
  5. Step 5: Solve for x
    x = 134,453,664.77/12,509.14
  6. Step 6: Final answer
    x = 10,748.43

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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.