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Finding the Fourth Proportional to 8,596.40, 12,902.70 and 7,365.20

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Solution

The fourth proportional to 8,596.40, 12,902.70 and 7,365.20 is: 11,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.40 : 12,902.70 = 7,365.20 : x
  2. Step 2: Convert to fraction form
    8,596.40/12,902.70 = 7,365.20/x
  3. Step 3: Cross multiply
    8,596.40x = 12,902.70 × 7,365.20
  4. Step 4: Simplify right side
    8,596.40x = 95,030,966.04
  5. Step 5: Solve for x
    x = 95,030,966.04/8,596.40
  6. Step 6: Final answer
    x = 11,054.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.