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Finding the Fourth Proportional to 7,497.74, 11,242.94 and 4,378.53

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Solution

The fourth proportional to 7,497.74, 11,242.94 and 4,378.53 is: 6,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.74 : 11,242.94 = 4,378.53 : x
  2. Step 2: Convert to fraction form
    7,497.74/11,242.94 = 4,378.53/x
  3. Step 3: Cross multiply
    7,497.74x = 11,242.94 × 4,378.53
  4. Step 4: Simplify right side
    7,497.74x = 49,227,570.35
  5. Step 5: Solve for x
    x = 49,227,570.35/7,497.74
  6. Step 6: Final answer
    x = 6,565.65

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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.