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Finding the Fourth Proportional to 7,565.84, 10,440.66 and 4,208.66

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Solution

The fourth proportional to 7,565.84, 10,440.66 and 4,208.66 is: 5,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.84 : 10,440.66 = 4,208.66 : x
  2. Step 2: Convert to fraction form
    7,565.84/10,440.66 = 4,208.66/x
  3. Step 3: Cross multiply
    7,565.84x = 10,440.66 × 4,208.66
  4. Step 4: Simplify right side
    7,565.84x = 43,941,188.12
  5. Step 5: Solve for x
    x = 43,941,188.12/7,565.84
  6. Step 6: Final answer
    x = 5,807.84

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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.