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Finding the Fourth Proportional to 10,558.77, 14,561.15 and 7,875.92

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Solution

The fourth proportional to 10,558.77, 14,561.15 and 7,875.92 is: 10,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.77 : 14,561.15 = 7,875.92 : x
  2. Step 2: Convert to fraction form
    10,558.77/14,561.15 = 7,875.92/x
  3. Step 3: Cross multiply
    10,558.77x = 14,561.15 × 7,875.92
  4. Step 4: Simplify right side
    10,558.77x = 114,682,340.32
  5. Step 5: Solve for x
    x = 114,682,340.32/10,558.77
  6. Step 6: Final answer
    x = 10,861.34

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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.