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Finding the Fourth Proportional to 11,878.65, 16,390.35 and 7,630.47

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Solution

The fourth proportional to 11,878.65, 16,390.35 and 7,630.47 is: 10,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.65 : 16,390.35 = 7,630.47 : x
  2. Step 2: Convert to fraction form
    11,878.65/16,390.35 = 7,630.47/x
  3. Step 3: Cross multiply
    11,878.65x = 16,390.35 × 7,630.47
  4. Step 4: Simplify right side
    11,878.65x = 125,066,073.96
  5. Step 5: Solve for x
    x = 125,066,073.96/11,878.65
  6. Step 6: Final answer
    x = 10,528.64

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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.