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Finding the Fourth Proportional to 11,607.06, 16,030.80 and 7,845.75

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Solution

The fourth proportional to 11,607.06, 16,030.80 and 7,845.75 is: 10,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.06 : 16,030.80 = 7,845.75 : x
  2. Step 2: Convert to fraction form
    11,607.06/16,030.80 = 7,845.75/x
  3. Step 3: Cross multiply
    11,607.06x = 16,030.80 × 7,845.75
  4. Step 4: Simplify right side
    11,607.06x = 125,773,649.10
  5. Step 5: Solve for x
    x = 125,773,649.10/11,607.06
  6. Step 6: Final answer
    x = 10,835.96

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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.