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Finding the Fourth Proportional to 7,374.40, 11,045.40 and 6,402.40

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Solution

The fourth proportional to 7,374.40, 11,045.40 and 6,402.40 is: 9,589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.40 : 11,045.40 = 6,402.40 : x
  2. Step 2: Convert to fraction form
    7,374.40/11,045.40 = 6,402.40/x
  3. Step 3: Cross multiply
    7,374.40x = 11,045.40 × 6,402.40
  4. Step 4: Simplify right side
    7,374.40x = 70,717,068.96
  5. Step 5: Solve for x
    x = 70,717,068.96/7,374.40
  6. Step 6: Final answer
    x = 9,589.54

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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.