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Finding the Fourth Proportional to 10,127.34, 15,192.62 and 4,284

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Solution

The fourth proportional to 10,127.34, 15,192.62 and 4,284 is: 6,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.34 : 15,192.62 = 4,284 : x
  2. Step 2: Convert to fraction form
    10,127.34/15,192.62 = 4,284/x
  3. Step 3: Cross multiply
    10,127.34x = 15,192.62 × 4,284
  4. Step 4: Simplify right side
    10,127.34x = 65,085,184.08
  5. Step 5: Solve for x
    x = 65,085,184.08/10,127.34
  6. Step 6: Final answer
    x = 6,426.68

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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.