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Finding the Fourth Proportional to 11,817.36, 16,307.88 and 7,101.60

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Solution

The fourth proportional to 11,817.36, 16,307.88 and 7,101.60 is: 9,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.36 : 16,307.88 = 7,101.60 : x
  2. Step 2: Convert to fraction form
    11,817.36/16,307.88 = 7,101.60/x
  3. Step 3: Cross multiply
    11,817.36x = 16,307.88 × 7,101.60
  4. Step 4: Simplify right side
    11,817.36x = 115,812,040.61
  5. Step 5: Solve for x
    x = 115,812,040.61/11,817.36
  6. Step 6: Final answer
    x = 9,800.16

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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.