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Finding the Fourth Proportional to 10,011.60, 13,818.85 and 6,032.96

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Solution

The fourth proportional to 10,011.60, 13,818.85 and 6,032.96 is: 8,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.60 : 13,818.85 = 6,032.96 : x
  2. Step 2: Convert to fraction form
    10,011.60/13,818.85 = 6,032.96/x
  3. Step 3: Cross multiply
    10,011.60x = 13,818.85 × 6,032.96
  4. Step 4: Simplify right side
    10,011.60x = 83,368,532.01
  5. Step 5: Solve for x
    x = 83,368,532.01/10,011.60
  6. Step 6: Final answer
    x = 8,327.19

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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.