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Finding the Fourth Proportional to 10,480.58, 14,456.88 and 6,448.10

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Solution

The fourth proportional to 10,480.58, 14,456.88 and 6,448.10 is: 8,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.58 : 14,456.88 = 6,448.10 : x
  2. Step 2: Convert to fraction form
    10,480.58/14,456.88 = 6,448.10/x
  3. Step 3: Cross multiply
    10,480.58x = 14,456.88 × 6,448.10
  4. Step 4: Simplify right side
    10,480.58x = 93,219,335.64
  5. Step 5: Solve for x
    x = 93,219,335.64/10,480.58
  6. Step 6: Final answer
    x = 8,894.48

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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.