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Finding the Fourth Proportional to 7,807.85, 10,758.89 and 5,564.96

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Solution

The fourth proportional to 7,807.85, 10,758.89 and 5,564.96 is: 7,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.85 : 10,758.89 = 5,564.96 : x
  2. Step 2: Convert to fraction form
    7,807.85/10,758.89 = 5,564.96/x
  3. Step 3: Cross multiply
    7,807.85x = 10,758.89 × 5,564.96
  4. Step 4: Simplify right side
    7,807.85x = 59,872,792.49
  5. Step 5: Solve for x
    x = 59,872,792.49/7,807.85
  6. Step 6: Final answer
    x = 7,668.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.