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Finding the Fourth Proportional to 10,497.36, 14,485.76 and 6,020.16

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Solution

The fourth proportional to 10,497.36, 14,485.76 and 6,020.16 is: 8,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.36 : 14,485.76 = 6,020.16 : x
  2. Step 2: Convert to fraction form
    10,497.36/14,485.76 = 6,020.16/x
  3. Step 3: Cross multiply
    10,497.36x = 14,485.76 × 6,020.16
  4. Step 4: Simplify right side
    10,497.36x = 87,206,592.92
  5. Step 5: Solve for x
    x = 87,206,592.92/10,497.36
  6. Step 6: Final answer
    x = 8,307.48

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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.