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Finding the Fourth Proportional to 10,011.60, 13,813.18 and 5,977.95

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Solution

The fourth proportional to 10,011.60, 13,813.18 and 5,977.95 is: 8,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.60 : 13,813.18 = 5,977.95 : x
  2. Step 2: Convert to fraction form
    10,011.60/13,813.18 = 5,977.95/x
  3. Step 3: Cross multiply
    10,011.60x = 13,813.18 × 5,977.95
  4. Step 4: Simplify right side
    10,011.60x = 82,574,543.96
  5. Step 5: Solve for x
    x = 82,574,543.96/10,011.60
  6. Step 6: Final answer
    x = 8,247.89

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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.