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Finding the Fourth Proportional to 10,368.48, 14,291.76 and 7,010.24

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Solution

The fourth proportional to 10,368.48, 14,291.76 and 7,010.24 is: 9,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.48 : 14,291.76 = 7,010.24 : x
  2. Step 2: Convert to fraction form
    10,368.48/14,291.76 = 7,010.24/x
  3. Step 3: Cross multiply
    10,368.48x = 14,291.76 × 7,010.24
  4. Step 4: Simplify right side
    10,368.48x = 100,188,667.62
  5. Step 5: Solve for x
    x = 100,188,667.62/10,368.48
  6. Step 6: Final answer
    x = 9,662.81

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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.