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Finding the Fourth Proportional to 10,583.40, 14,605.98 and 6,107.34

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Solution

The fourth proportional to 10,583.40, 14,605.98 and 6,107.34 is: 8,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.40 : 14,605.98 = 6,107.34 : x
  2. Step 2: Convert to fraction form
    10,583.40/14,605.98 = 6,107.34/x
  3. Step 3: Cross multiply
    10,583.40x = 14,605.98 × 6,107.34
  4. Step 4: Simplify right side
    10,583.40x = 89,203,685.89
  5. Step 5: Solve for x
    x = 89,203,685.89/10,583.40
  6. Step 6: Final answer
    x = 8,428.64

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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.