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Finding the Fourth Proportional to 7,569.84, 10,446.54 and 4,427.85

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Solution

The fourth proportional to 7,569.84, 10,446.54 and 4,427.85 is: 6,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.84 : 10,446.54 = 4,427.85 : x
  2. Step 2: Convert to fraction form
    7,569.84/10,446.54 = 4,427.85/x
  3. Step 3: Cross multiply
    7,569.84x = 10,446.54 × 4,427.85
  4. Step 4: Simplify right side
    7,569.84x = 46,255,712.14
  5. Step 5: Solve for x
    x = 46,255,712.14/7,569.84
  6. Step 6: Final answer
    x = 6,110.53

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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.