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Finding the Fourth Proportional to 7,569.76, 10,444.62 and 4,424.08

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Solution

The fourth proportional to 7,569.76, 10,444.62 and 4,424.08 is: 6,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.76 : 10,444.62 = 4,424.08 : x
  2. Step 2: Convert to fraction form
    7,569.76/10,444.62 = 4,424.08/x
  3. Step 3: Cross multiply
    7,569.76x = 10,444.62 × 4,424.08
  4. Step 4: Simplify right side
    7,569.76x = 46,207,834.45
  5. Step 5: Solve for x
    x = 46,207,834.45/7,569.76
  6. Step 6: Final answer
    x = 6,104.27

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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.