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Finding the Fourth Proportional to 11,703.16, 16,150.35 and 6,397.97

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Solution

The fourth proportional to 11,703.16, 16,150.35 and 6,397.97 is: 8,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.16 : 16,150.35 = 6,397.97 : x
  2. Step 2: Convert to fraction form
    11,703.16/16,150.35 = 6,397.97/x
  3. Step 3: Cross multiply
    11,703.16x = 16,150.35 × 6,397.97
  4. Step 4: Simplify right side
    11,703.16x = 103,329,509.28
  5. Step 5: Solve for x
    x = 103,329,509.28/11,703.16
  6. Step 6: Final answer
    x = 8,829.20

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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.