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Finding the Fourth Proportional to 7,665.04, 11,549.70 and 6,308.80

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Solution

The fourth proportional to 7,665.04, 11,549.70 and 6,308.80 is: 9,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.04 : 11,549.70 = 6,308.80 : x
  2. Step 2: Convert to fraction form
    7,665.04/11,549.70 = 6,308.80/x
  3. Step 3: Cross multiply
    7,665.04x = 11,549.70 × 6,308.80
  4. Step 4: Simplify right side
    7,665.04x = 72,864,747.36
  5. Step 5: Solve for x
    x = 72,864,747.36/7,665.04
  6. Step 6: Final answer
    x = 9,506.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.