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Finding the Fourth Proportional to 10,520.40, 14,513.08 and 6,546.16

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Solution

The fourth proportional to 10,520.40, 14,513.08 and 6,546.16 is: 9,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.40 : 14,513.08 = 6,546.16 : x
  2. Step 2: Convert to fraction form
    10,520.40/14,513.08 = 6,546.16/x
  3. Step 3: Cross multiply
    10,520.40x = 14,513.08 × 6,546.16
  4. Step 4: Simplify right side
    10,520.40x = 95,004,943.77
  5. Step 5: Solve for x
    x = 95,004,943.77/10,520.40
  6. Step 6: Final answer
    x = 9,030.54

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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.