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Finding the Fourth Proportional to 10,649.40, 14,700.78 and 6,876.60

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Solution

The fourth proportional to 10,649.40, 14,700.78 and 6,876.60 is: 9,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.40 : 14,700.78 = 6,876.60 : x
  2. Step 2: Convert to fraction form
    10,649.40/14,700.78 = 6,876.60/x
  3. Step 3: Cross multiply
    10,649.40x = 14,700.78 × 6,876.60
  4. Step 4: Simplify right side
    10,649.40x = 101,091,383.75
  5. Step 5: Solve for x
    x = 101,091,383.75/10,649.40
  6. Step 6: Final answer
    x = 9,492.68

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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.