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Finding the Fourth Proportional to 10,878.26, 15,008.42 and 6,097.50

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Solution

The fourth proportional to 10,878.26, 15,008.42 and 6,097.50 is: 8,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.26 : 15,008.42 = 6,097.50 : x
  2. Step 2: Convert to fraction form
    10,878.26/15,008.42 = 6,097.50/x
  3. Step 3: Cross multiply
    10,878.26x = 15,008.42 × 6,097.50
  4. Step 4: Simplify right side
    10,878.26x = 91,513,840.95
  5. Step 5: Solve for x
    x = 91,513,840.95/10,878.26
  6. Step 6: Final answer
    x = 8,412.54

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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.