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Finding the Fourth Proportional to 7,985.75, 11,898.37 and 7,538.63

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Solution

The fourth proportional to 7,985.75, 11,898.37 and 7,538.63 is: 11,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.75 : 11,898.37 = 7,538.63 : x
  2. Step 2: Convert to fraction form
    7,985.75/11,898.37 = 7,538.63/x
  3. Step 3: Cross multiply
    7,985.75x = 11,898.37 × 7,538.63
  4. Step 4: Simplify right side
    7,985.75x = 89,697,358.96
  5. Step 5: Solve for x
    x = 89,697,358.96/7,985.75
  6. Step 6: Final answer
    x = 11,232.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.