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Finding the Fourth Proportional to 10,878.48, 16,325 and 6,985.62

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Solution

The fourth proportional to 10,878.48, 16,325 and 6,985.62 is: 10,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.48 : 16,325 = 6,985.62 : x
  2. Step 2: Convert to fraction form
    10,878.48/16,325 = 6,985.62/x
  3. Step 3: Cross multiply
    10,878.48x = 16,325 × 6,985.62
  4. Step 4: Simplify right side
    10,878.48x = 114,040,246.50
  5. Step 5: Solve for x
    x = 114,040,246.50/10,878.48
  6. Step 6: Final answer
    x = 10,483.10

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Why These Related Problems?

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