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Finding the Fourth Proportional to 10,130.67, 13,979.86 and 5,654.21

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Solution

The fourth proportional to 10,130.67, 13,979.86 and 5,654.21 is: 7,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.67 : 13,979.86 = 5,654.21 : x
  2. Step 2: Convert to fraction form
    10,130.67/13,979.86 = 5,654.21/x
  3. Step 3: Cross multiply
    10,130.67x = 13,979.86 × 5,654.21
  4. Step 4: Simplify right side
    10,130.67x = 79,044,980.18
  5. Step 5: Solve for x
    x = 79,044,980.18/10,130.67
  6. Step 6: Final answer
    x = 7,802.54

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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.