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Finding the Fourth Proportional to 10,878.53, 16,308.36 and 6,486.75

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Solution

The fourth proportional to 10,878.53, 16,308.36 and 6,486.75 is: 9,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.53 : 16,308.36 = 6,486.75 : x
  2. Step 2: Convert to fraction form
    10,878.53/16,308.36 = 6,486.75/x
  3. Step 3: Cross multiply
    10,878.53x = 16,308.36 × 6,486.75
  4. Step 4: Simplify right side
    10,878.53x = 105,788,254.23
  5. Step 5: Solve for x
    x = 105,788,254.23/10,878.53
  6. Step 6: Final answer
    x = 9,724.50

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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.