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Finding the Fourth Proportional to 10,292.86, 15,417.42 and 5,899.42

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Solution

The fourth proportional to 10,292.86, 15,417.42 and 5,899.42 is: 8,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.86 : 15,417.42 = 5,899.42 : x
  2. Step 2: Convert to fraction form
    10,292.86/15,417.42 = 5,899.42/x
  3. Step 3: Cross multiply
    10,292.86x = 15,417.42 × 5,899.42
  4. Step 4: Simplify right side
    10,292.86x = 90,953,835.90
  5. Step 5: Solve for x
    x = 90,953,835.90/10,292.86
  6. Step 6: Final answer
    x = 8,836.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.