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Finding the Fourth Proportional to 10,130.41, 13,979.94 and 5,654.12

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Solution

The fourth proportional to 10,130.41, 13,979.94 and 5,654.12 is: 7,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.41 : 13,979.94 = 5,654.12 : x
  2. Step 2: Convert to fraction form
    10,130.41/13,979.94 = 5,654.12/x
  3. Step 3: Cross multiply
    10,130.41x = 13,979.94 × 5,654.12
  4. Step 4: Simplify right side
    10,130.41x = 79,044,199.05
  5. Step 5: Solve for x
    x = 79,044,199.05/10,130.41
  6. Step 6: Final answer
    x = 7,802.66

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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.