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Finding the Fourth Proportional to 13,102.40, 18,085.12 and 7,798.48

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Solution

The fourth proportional to 13,102.40, 18,085.12 and 7,798.48 is: 10,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.40 : 18,085.12 = 7,798.48 : x
  2. Step 2: Convert to fraction form
    13,102.40/18,085.12 = 7,798.48/x
  3. Step 3: Cross multiply
    13,102.40x = 18,085.12 × 7,798.48
  4. Step 4: Simplify right side
    13,102.40x = 141,036,446.62
  5. Step 5: Solve for x
    x = 141,036,446.62/13,102.40
  6. Step 6: Final answer
    x = 10,764.17

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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.