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Finding the Fourth Proportional to 10,178.48, 15,254.76 and 5,486.96

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Solution

The fourth proportional to 10,178.48, 15,254.76 and 5,486.96 is: 8,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.48 : 15,254.76 = 5,486.96 : x
  2. Step 2: Convert to fraction form
    10,178.48/15,254.76 = 5,486.96/x
  3. Step 3: Cross multiply
    10,178.48x = 15,254.76 × 5,486.96
  4. Step 4: Simplify right side
    10,178.48x = 83,702,257.93
  5. Step 5: Solve for x
    x = 83,702,257.93/10,178.48
  6. Step 6: Final answer
    x = 8,223.45

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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.