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Finding the Fourth Proportional to 7,565.67, 10,440.63 and 4,208.63

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Solution

The fourth proportional to 7,565.67, 10,440.63 and 4,208.63 is: 5,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.67 : 10,440.63 = 4,208.63 : x
  2. Step 2: Convert to fraction form
    7,565.67/10,440.63 = 4,208.63/x
  3. Step 3: Cross multiply
    7,565.67x = 10,440.63 × 4,208.63
  4. Step 4: Simplify right side
    7,565.67x = 43,940,696.43
  5. Step 5: Solve for x
    x = 43,940,696.43/7,565.67
  6. Step 6: Final answer
    x = 5,807.91

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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.