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Finding the Fourth Proportional to 7,434.71, 11,152.07 and 1,888.47

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Solution

The fourth proportional to 7,434.71, 11,152.07 and 1,888.47 is: 2,832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.71 : 11,152.07 = 1,888.47 : x
  2. Step 2: Convert to fraction form
    7,434.71/11,152.07 = 1,888.47/x
  3. Step 3: Cross multiply
    7,434.71x = 11,152.07 × 1,888.47
  4. Step 4: Simplify right side
    7,434.71x = 21,060,349.63
  5. Step 5: Solve for x
    x = 21,060,349.63/7,434.71
  6. Step 6: Final answer
    x = 2,832.71

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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.