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Finding the Fourth Proportional to 10,740.57, 14,822.65 and 7,149.33

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Solution

The fourth proportional to 10,740.57, 14,822.65 and 7,149.33 is: 9,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.57 : 14,822.65 = 7,149.33 : x
  2. Step 2: Convert to fraction form
    10,740.57/14,822.65 = 7,149.33/x
  3. Step 3: Cross multiply
    10,740.57x = 14,822.65 × 7,149.33
  4. Step 4: Simplify right side
    10,740.57x = 105,971,985.05
  5. Step 5: Solve for x
    x = 105,971,985.05/10,740.57
  6. Step 6: Final answer
    x = 9,866.52

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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.