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Finding the Fourth Proportional to 10,283.34, 14,187.31 and 6,505.10

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Solution

The fourth proportional to 10,283.34, 14,187.31 and 6,505.10 is: 8,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.34 : 14,187.31 = 6,505.10 : x
  2. Step 2: Convert to fraction form
    10,283.34/14,187.31 = 6,505.10/x
  3. Step 3: Cross multiply
    10,283.34x = 14,187.31 × 6,505.10
  4. Step 4: Simplify right side
    10,283.34x = 92,289,870.28
  5. Step 5: Solve for x
    x = 92,289,870.28/10,283.34
  6. Step 6: Final answer
    x = 8,974.70

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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.