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Finding the Fourth Proportional to 7,569.94, 10,443.60 and 5,585.26

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Solution

The fourth proportional to 7,569.94, 10,443.60 and 5,585.26 is: 7,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.94 : 10,443.60 = 5,585.26 : x
  2. Step 2: Convert to fraction form
    7,569.94/10,443.60 = 5,585.26/x
  3. Step 3: Cross multiply
    7,569.94x = 10,443.60 × 5,585.26
  4. Step 4: Simplify right side
    7,569.94x = 58,330,221.34
  5. Step 5: Solve for x
    x = 58,330,221.34/7,569.94
  6. Step 6: Final answer
    x = 7,705.51

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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.