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Finding the Fourth Proportional to 10,040.79, 13,854.87 and 5,564.80

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Solution

The fourth proportional to 10,040.79, 13,854.87 and 5,564.80 is: 7,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.79 : 13,854.87 = 5,564.80 : x
  2. Step 2: Convert to fraction form
    10,040.79/13,854.87 = 5,564.80/x
  3. Step 3: Cross multiply
    10,040.79x = 13,854.87 × 5,564.80
  4. Step 4: Simplify right side
    10,040.79x = 77,099,580.58
  5. Step 5: Solve for x
    x = 77,099,580.58/10,040.79
  6. Step 6: Final answer
    x = 7,678.64

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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.