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Finding the Fourth Proportional to 10,061.84, 13,898.64 and 8,388.72

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Solution

The fourth proportional to 10,061.84, 13,898.64 and 8,388.72 is: 11,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.84 : 13,898.64 = 8,388.72 : x
  2. Step 2: Convert to fraction form
    10,061.84/13,898.64 = 8,388.72/x
  3. Step 3: Cross multiply
    10,061.84x = 13,898.64 × 8,388.72
  4. Step 4: Simplify right side
    10,061.84x = 116,591,799.34
  5. Step 5: Solve for x
    x = 116,591,799.34/10,061.84
  6. Step 6: Final answer
    x = 11,587.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.