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Finding the Fourth Proportional to 10,575.74, 14,594.97 and 5,860.02

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Solution

The fourth proportional to 10,575.74, 14,594.97 and 5,860.02 is: 8,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.74 : 14,594.97 = 5,860.02 : x
  2. Step 2: Convert to fraction form
    10,575.74/14,594.97 = 5,860.02/x
  3. Step 3: Cross multiply
    10,575.74x = 14,594.97 × 5,860.02
  4. Step 4: Simplify right side
    10,575.74x = 85,526,816.10
  5. Step 5: Solve for x
    x = 85,526,816.10/10,575.74
  6. Step 6: Final answer
    x = 8,087.08

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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.