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Finding the Fourth Proportional to 7,869.26, 10,859.25 and 4,509.74

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Solution

The fourth proportional to 7,869.26, 10,859.25 and 4,509.74 is: 6,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.26 : 10,859.25 = 4,509.74 : x
  2. Step 2: Convert to fraction form
    7,869.26/10,859.25 = 4,509.74/x
  3. Step 3: Cross multiply
    7,869.26x = 10,859.25 × 4,509.74
  4. Step 4: Simplify right side
    7,869.26x = 48,972,356.71
  5. Step 5: Solve for x
    x = 48,972,356.71/7,869.26
  6. Step 6: Final answer
    x = 6,223.25

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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.