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Finding the Fourth Proportional to 10,242.96, 15,368.76 and 5,313.84

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Solution

The fourth proportional to 10,242.96, 15,368.76 and 5,313.84 is: 7,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.96 : 15,368.76 = 5,313.84 : x
  2. Step 2: Convert to fraction form
    10,242.96/15,368.76 = 5,313.84/x
  3. Step 3: Cross multiply
    10,242.96x = 15,368.76 × 5,313.84
  4. Step 4: Simplify right side
    10,242.96x = 81,667,131.64
  5. Step 5: Solve for x
    x = 81,667,131.64/10,242.96
  6. Step 6: Final answer
    x = 7,973.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.