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Finding the Fourth Proportional to 8,952.40, 13,412.40 and 7,656.40

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Solution

The fourth proportional to 8,952.40, 13,412.40 and 7,656.40 is: 11,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.40 : 13,412.40 = 7,656.40 : x
  2. Step 2: Convert to fraction form
    8,952.40/13,412.40 = 7,656.40/x
  3. Step 3: Cross multiply
    8,952.40x = 13,412.40 × 7,656.40
  4. Step 4: Simplify right side
    8,952.40x = 102,690,699.36
  5. Step 5: Solve for x
    x = 102,690,699.36/8,952.40
  6. Step 6: Final answer
    x = 11,470.75

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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.