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Finding the Fourth Proportional to 10,985.40, 15,161.02 and 7,211.60

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Solution

The fourth proportional to 10,985.40, 15,161.02 and 7,211.60 is: 9,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.40 : 15,161.02 = 7,211.60 : x
  2. Step 2: Convert to fraction form
    10,985.40/15,161.02 = 7,211.60/x
  3. Step 3: Cross multiply
    10,985.40x = 15,161.02 × 7,211.60
  4. Step 4: Simplify right side
    10,985.40x = 109,335,211.83
  5. Step 5: Solve for x
    x = 109,335,211.83/10,985.40
  6. Step 6: Final answer
    x = 9,952.77

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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.