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Finding the Fourth Proportional to 10,134, 13,985.19 and 5,657.94

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Solution

The fourth proportional to 10,134, 13,985.19 and 5,657.94 is: 7,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 13,985.19 = 5,657.94 : x
  2. Step 2: Convert to fraction form
    10,134/13,985.19 = 5,657.94/x
  3. Step 3: Cross multiply
    10,134x = 13,985.19 × 5,657.94
  4. Step 4: Simplify right side
    10,134x = 79,127,365.91
  5. Step 5: Solve for x
    x = 79,127,365.91/10,134
  6. Step 6: Final answer
    x = 7,808.11

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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.