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Finding the Fourth Proportional to 10,197.51, 15,296.04 and 4,192.32

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Solution

The fourth proportional to 10,197.51, 15,296.04 and 4,192.32 is: 6,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.51 : 15,296.04 = 4,192.32 : x
  2. Step 2: Convert to fraction form
    10,197.51/15,296.04 = 4,192.32/x
  3. Step 3: Cross multiply
    10,197.51x = 15,296.04 × 4,192.32
  4. Step 4: Simplify right side
    10,197.51x = 64,125,894.41
  5. Step 5: Solve for x
    x = 64,125,894.41/10,197.51
  6. Step 6: Final answer
    x = 6,288.39

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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.