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Finding the Fourth Proportional to 10,556.01, 15,823.68 and 8,585.67

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Solution

The fourth proportional to 10,556.01, 15,823.68 and 8,585.67 is: 12,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.01 : 15,823.68 = 8,585.67 : x
  2. Step 2: Convert to fraction form
    10,556.01/15,823.68 = 8,585.67/x
  3. Step 3: Cross multiply
    10,556.01x = 15,823.68 × 8,585.67
  4. Step 4: Simplify right side
    10,556.01x = 135,856,894.67
  5. Step 5: Solve for x
    x = 135,856,894.67/10,556.01
  6. Step 6: Final answer
    x = 12,870.10

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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.