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Finding the Fourth Proportional to 12,356.08, 17,053.14 and 7,878.40

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Solution

The fourth proportional to 12,356.08, 17,053.14 and 7,878.40 is: 10,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.08 : 17,053.14 = 7,878.40 : x
  2. Step 2: Convert to fraction form
    12,356.08/17,053.14 = 7,878.40/x
  3. Step 3: Cross multiply
    12,356.08x = 17,053.14 × 7,878.40
  4. Step 4: Simplify right side
    12,356.08x = 134,351,458.18
  5. Step 5: Solve for x
    x = 134,351,458.18/12,356.08
  6. Step 6: Final answer
    x = 10,873.31

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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.