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Finding the Fourth Proportional to 11,607.30, 16,007.76 and 9,368.46

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Solution

The fourth proportional to 11,607.30, 16,007.76 and 9,368.46 is: 12,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.30 : 16,007.76 = 9,368.46 : x
  2. Step 2: Convert to fraction form
    11,607.30/16,007.76 = 9,368.46/x
  3. Step 3: Cross multiply
    11,607.30x = 16,007.76 × 9,368.46
  4. Step 4: Simplify right side
    11,607.30x = 149,968,059.25
  5. Step 5: Solve for x
    x = 149,968,059.25/11,607.30
  6. Step 6: Final answer
    x = 12,920.15

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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.