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Finding the Fourth Proportional to 7,835.95, 11,823.80 and 7,532.20

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Solution

The fourth proportional to 7,835.95, 11,823.80 and 7,532.20 is: 11,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.95 : 11,823.80 = 7,532.20 : x
  2. Step 2: Convert to fraction form
    7,835.95/11,823.80 = 7,532.20/x
  3. Step 3: Cross multiply
    7,835.95x = 11,823.80 × 7,532.20
  4. Step 4: Simplify right side
    7,835.95x = 89,059,129.58
  5. Step 5: Solve for x
    x = 89,059,129.58/7,835.95
  6. Step 6: Final answer
    x = 11,365.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.