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Finding the Fourth Proportional to 7,574.52, 11,349.24 and 4,613.76

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Solution

The fourth proportional to 7,574.52, 11,349.24 and 4,613.76 is: 6,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.52 : 11,349.24 = 4,613.76 : x
  2. Step 2: Convert to fraction form
    7,574.52/11,349.24 = 4,613.76/x
  3. Step 3: Cross multiply
    7,574.52x = 11,349.24 × 4,613.76
  4. Step 4: Simplify right side
    7,574.52x = 52,362,669.54
  5. Step 5: Solve for x
    x = 52,362,669.54/7,574.52
  6. Step 6: Final answer
    x = 6,913.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.