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Finding the Fourth Proportional to 11,730.47, 16,187.02 and 7,195.64

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Solution

The fourth proportional to 11,730.47, 16,187.02 and 7,195.64 is: 9,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.47 : 16,187.02 = 7,195.64 : x
  2. Step 2: Convert to fraction form
    11,730.47/16,187.02 = 7,195.64/x
  3. Step 3: Cross multiply
    11,730.47x = 16,187.02 × 7,195.64
  4. Step 4: Simplify right side
    11,730.47x = 116,475,968.59
  5. Step 5: Solve for x
    x = 116,475,968.59/11,730.47
  6. Step 6: Final answer
    x = 9,929.35

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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.