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Finding the Fourth Proportional to 10,533.96, 14,539.14 and 7,184.79

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Solution

The fourth proportional to 10,533.96, 14,539.14 and 7,184.79 is: 9,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.96 : 14,539.14 = 7,184.79 : x
  2. Step 2: Convert to fraction form
    10,533.96/14,539.14 = 7,184.79/x
  3. Step 3: Cross multiply
    10,533.96x = 14,539.14 × 7,184.79
  4. Step 4: Simplify right side
    10,533.96x = 104,460,667.68
  5. Step 5: Solve for x
    x = 104,460,667.68/10,533.96
  6. Step 6: Final answer
    x = 9,916.56

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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.