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Finding the Fourth Proportional to 8,527.20, 12,774.04 and 7,598.40

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Solution

The fourth proportional to 8,527.20, 12,774.04 and 7,598.40 is: 11,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.20 : 12,774.04 = 7,598.40 : x
  2. Step 2: Convert to fraction form
    8,527.20/12,774.04 = 7,598.40/x
  3. Step 3: Cross multiply
    8,527.20x = 12,774.04 × 7,598.40
  4. Step 4: Simplify right side
    8,527.20x = 97,062,265.54
  5. Step 5: Solve for x
    x = 97,062,265.54/8,527.20
  6. Step 6: Final answer
    x = 11,382.67

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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.