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Finding the Fourth Proportional to 10,497.60, 14,485.13 and 5,959.57

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Solution

The fourth proportional to 10,497.60, 14,485.13 and 5,959.57 is: 8,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.60 : 14,485.13 = 5,959.57 : x
  2. Step 2: Convert to fraction form
    10,497.60/14,485.13 = 5,959.57/x
  3. Step 3: Cross multiply
    10,497.60x = 14,485.13 × 5,959.57
  4. Step 4: Simplify right side
    10,497.60x = 86,325,116.40
  5. Step 5: Solve for x
    x = 86,325,116.40/10,497.60
  6. Step 6: Final answer
    x = 8,223.32

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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.