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Finding the Fourth Proportional to 7,656.55, 11,487.69 and 5,214.40

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Solution

The fourth proportional to 7,656.55, 11,487.69 and 5,214.40 is: 7,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.55 : 11,487.69 = 5,214.40 : x
  2. Step 2: Convert to fraction form
    7,656.55/11,487.69 = 5,214.40/x
  3. Step 3: Cross multiply
    7,656.55x = 11,487.69 × 5,214.40
  4. Step 4: Simplify right side
    7,656.55x = 59,901,410.74
  5. Step 5: Solve for x
    x = 59,901,410.74/7,656.55
  6. Step 6: Final answer
    x = 7,823.55

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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.