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Finding the Fourth Proportional to 10,289.53, 15,390.34 and 8,590.60

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Solution

The fourth proportional to 10,289.53, 15,390.34 and 8,590.60 is: 12,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.53 : 15,390.34 = 8,590.60 : x
  2. Step 2: Convert to fraction form
    10,289.53/15,390.34 = 8,590.60/x
  3. Step 3: Cross multiply
    10,289.53x = 15,390.34 × 8,590.60
  4. Step 4: Simplify right side
    10,289.53x = 132,212,254.80
  5. Step 5: Solve for x
    x = 132,212,254.80/10,289.53
  6. Step 6: Final answer
    x = 12,849.20

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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.