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Finding the Fourth Proportional to 10,569.76, 15,854 and 2,778.56

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Solution

The fourth proportional to 10,569.76, 15,854 and 2,778.56 is: 4,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.76 : 15,854 = 2,778.56 : x
  2. Step 2: Convert to fraction form
    10,569.76/15,854 = 2,778.56/x
  3. Step 3: Cross multiply
    10,569.76x = 15,854 × 2,778.56
  4. Step 4: Simplify right side
    10,569.76x = 44,051,290.24
  5. Step 5: Solve for x
    x = 44,051,290.24/10,569.76
  6. Step 6: Final answer
    x = 4,167.67

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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.