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Finding the Fourth Proportional to 10,281.03, 14,186.29 and 5,804.68

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Solution

The fourth proportional to 10,281.03, 14,186.29 and 5,804.68 is: 8,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.03 : 14,186.29 = 5,804.68 : x
  2. Step 2: Convert to fraction form
    10,281.03/14,186.29 = 5,804.68/x
  3. Step 3: Cross multiply
    10,281.03x = 14,186.29 × 5,804.68
  4. Step 4: Simplify right side
    10,281.03x = 82,346,873.84
  5. Step 5: Solve for x
    x = 82,346,873.84/10,281.03
  6. Step 6: Final answer
    x = 8,009.60

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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.