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Finding the Fourth Proportional to 7,569.86, 10,444.31 and 4,544.20

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Solution

The fourth proportional to 7,569.86, 10,444.31 and 4,544.20 is: 6,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.86 : 10,444.31 = 4,544.20 : x
  2. Step 2: Convert to fraction form
    7,569.86/10,444.31 = 4,544.20/x
  3. Step 3: Cross multiply
    7,569.86x = 10,444.31 × 4,544.20
  4. Step 4: Simplify right side
    7,569.86x = 47,461,040.88
  5. Step 5: Solve for x
    x = 47,461,040.88/7,569.86
  6. Step 6: Final answer
    x = 6,269.74

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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.