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Finding the Fourth Proportional to 7,527.29, 11,280.41 and 6,410.90

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Solution

The fourth proportional to 7,527.29, 11,280.41 and 6,410.90 is: 9,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.29 : 11,280.41 = 6,410.90 : x
  2. Step 2: Convert to fraction form
    7,527.29/11,280.41 = 6,410.90/x
  3. Step 3: Cross multiply
    7,527.29x = 11,280.41 × 6,410.90
  4. Step 4: Simplify right side
    7,527.29x = 72,317,492.01
  5. Step 5: Solve for x
    x = 72,317,492.01/7,527.29
  6. Step 6: Final answer
    x = 9,607.38

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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.