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Finding the Fourth Proportional to 7,709.40, 11,564.10 and 6,615.90

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Solution

The fourth proportional to 7,709.40, 11,564.10 and 6,615.90 is: 9,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.40 : 11,564.10 = 6,615.90 : x
  2. Step 2: Convert to fraction form
    7,709.40/11,564.10 = 6,615.90/x
  3. Step 3: Cross multiply
    7,709.40x = 11,564.10 × 6,615.90
  4. Step 4: Simplify right side
    7,709.40x = 76,506,929.19
  5. Step 5: Solve for x
    x = 76,506,929.19/7,709.40
  6. Step 6: Final answer
    x = 9,923.85

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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.