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Finding the Fourth Proportional to 11,650.16, 16,068.64 and 7,397.56

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Solution

The fourth proportional to 11,650.16, 16,068.64 and 7,397.56 is: 10,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.16 : 16,068.64 = 7,397.56 : x
  2. Step 2: Convert to fraction form
    11,650.16/16,068.64 = 7,397.56/x
  3. Step 3: Cross multiply
    11,650.16x = 16,068.64 × 7,397.56
  4. Step 4: Simplify right side
    11,650.16x = 118,868,728.52
  5. Step 5: Solve for x
    x = 118,868,728.52/11,650.16
  6. Step 6: Final answer
    x = 10,203.18

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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.