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Finding the Fourth Proportional to 10,056.59, 13,879.74 and 5,581.78

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Solution

The fourth proportional to 10,056.59, 13,879.74 and 5,581.78 is: 7,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.59 : 13,879.74 = 5,581.78 : x
  2. Step 2: Convert to fraction form
    10,056.59/13,879.74 = 5,581.78/x
  3. Step 3: Cross multiply
    10,056.59x = 13,879.74 × 5,581.78
  4. Step 4: Simplify right side
    10,056.59x = 77,473,585.74
  5. Step 5: Solve for x
    x = 77,473,585.74/10,056.59
  6. Step 6: Final answer
    x = 7,703.77

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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.