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Finding the Fourth Proportional to 7,570.36, 11,356.64 and 2,374.48

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Solution

The fourth proportional to 7,570.36, 11,356.64 and 2,374.48 is: 3,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.36 : 11,356.64 = 2,374.48 : x
  2. Step 2: Convert to fraction form
    7,570.36/11,356.64 = 2,374.48/x
  3. Step 3: Cross multiply
    7,570.36x = 11,356.64 × 2,374.48
  4. Step 4: Simplify right side
    7,570.36x = 26,966,114.55
  5. Step 5: Solve for x
    x = 26,966,114.55/7,570.36
  6. Step 6: Final answer
    x = 3,562.07

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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.