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Finding the Fourth Proportional to 7,852.50, 10,835.54 and 4,495.12

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Solution

The fourth proportional to 7,852.50, 10,835.54 and 4,495.12 is: 6,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.50 : 10,835.54 = 4,495.12 : x
  2. Step 2: Convert to fraction form
    7,852.50/10,835.54 = 4,495.12/x
  3. Step 3: Cross multiply
    7,852.50x = 10,835.54 × 4,495.12
  4. Step 4: Simplify right side
    7,852.50x = 48,707,045.14
  5. Step 5: Solve for x
    x = 48,707,045.14/7,852.50
  6. Step 6: Final answer
    x = 6,202.74

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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.