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Finding the Fourth Proportional to 10,055.04, 13,875.68 and 5,863

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Solution

The fourth proportional to 10,055.04, 13,875.68 and 5,863 is: 8,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.04 : 13,875.68 = 5,863 : x
  2. Step 2: Convert to fraction form
    10,055.04/13,875.68 = 5,863/x
  3. Step 3: Cross multiply
    10,055.04x = 13,875.68 × 5,863
  4. Step 4: Simplify right side
    10,055.04x = 81,353,111.84
  5. Step 5: Solve for x
    x = 81,353,111.84/10,055.04
  6. Step 6: Final answer
    x = 8,090.78

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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.