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Finding the Fourth Proportional to 10,152, 14,015.52 and 7,663.68

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Solution

The fourth proportional to 10,152, 14,015.52 and 7,663.68 is: 10,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 14,015.52 = 7,663.68 : x
  2. Step 2: Convert to fraction form
    10,152/14,015.52 = 7,663.68/x
  3. Step 3: Cross multiply
    10,152x = 14,015.52 × 7,663.68
  4. Step 4: Simplify right side
    10,152x = 107,410,460.31
  5. Step 5: Solve for x
    x = 107,410,460.31/10,152
  6. Step 6: Final answer
    x = 10,580.23

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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.