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Finding the Fourth Proportional to 11,883.87, 17,818.52 and 5,301

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Solution

The fourth proportional to 11,883.87, 17,818.52 and 5,301 is: 7,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.87 : 17,818.52 = 5,301 : x
  2. Step 2: Convert to fraction form
    11,883.87/17,818.52 = 5,301/x
  3. Step 3: Cross multiply
    11,883.87x = 17,818.52 × 5,301
  4. Step 4: Simplify right side
    11,883.87x = 94,455,948.02
  5. Step 5: Solve for x
    x = 94,455,948.02/11,883.87
  6. Step 6: Final answer
    x = 7,948.25

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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.