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Finding the Fourth Proportional to 10,078.94, 13,901.36 and 7,095.62

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Solution

The fourth proportional to 10,078.94, 13,901.36 and 7,095.62 is: 9,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.94 : 13,901.36 = 7,095.62 : x
  2. Step 2: Convert to fraction form
    10,078.94/13,901.36 = 7,095.62/x
  3. Step 3: Cross multiply
    10,078.94x = 13,901.36 × 7,095.62
  4. Step 4: Simplify right side
    10,078.94x = 98,638,768.04
  5. Step 5: Solve for x
    x = 98,638,768.04/10,078.94
  6. Step 6: Final answer
    x = 9,786.62

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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.