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Finding the Fourth Proportional to 10,878.15, 16,292.43 and 6,486.54

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Solution

The fourth proportional to 10,878.15, 16,292.43 and 6,486.54 is: 9,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.15 : 16,292.43 = 6,486.54 : x
  2. Step 2: Convert to fraction form
    10,878.15/16,292.43 = 6,486.54/x
  3. Step 3: Cross multiply
    10,878.15x = 16,292.43 × 6,486.54
  4. Step 4: Simplify right side
    10,878.15x = 105,681,498.89
  5. Step 5: Solve for x
    x = 105,681,498.89/10,878.15
  6. Step 6: Final answer
    x = 9,715.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.