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Finding the Fourth Proportional to 7,574.09, 10,429.74 and 5,445.86

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Solution

The fourth proportional to 7,574.09, 10,429.74 and 5,445.86 is: 7,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.09 : 10,429.74 = 5,445.86 : x
  2. Step 2: Convert to fraction form
    7,574.09/10,429.74 = 5,445.86/x
  3. Step 3: Cross multiply
    7,574.09x = 10,429.74 × 5,445.86
  4. Step 4: Simplify right side
    7,574.09x = 56,798,851.73
  5. Step 5: Solve for x
    x = 56,798,851.73/7,574.09
  6. Step 6: Final answer
    x = 7,499.10

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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.