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Finding the Fourth Proportional to 7,656.09, 10,569.39 and 4,827.57

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Solution

The fourth proportional to 7,656.09, 10,569.39 and 4,827.57 is: 6,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.09 : 10,569.39 = 4,827.57 : x
  2. Step 2: Convert to fraction form
    7,656.09/10,569.39 = 4,827.57/x
  3. Step 3: Cross multiply
    7,656.09x = 10,569.39 × 4,827.57
  4. Step 4: Simplify right side
    7,656.09x = 51,024,470.08
  5. Step 5: Solve for x
    x = 51,024,470.08/7,656.09
  6. Step 6: Final answer
    x = 6,664.56

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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.