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Finding the Fourth Proportional to 10,515.30, 14,512.14 and 7,858.08

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Solution

The fourth proportional to 10,515.30, 14,512.14 and 7,858.08 is: 10,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.30 : 14,512.14 = 7,858.08 : x
  2. Step 2: Convert to fraction form
    10,515.30/14,512.14 = 7,858.08/x
  3. Step 3: Cross multiply
    10,515.30x = 14,512.14 × 7,858.08
  4. Step 4: Simplify right side
    10,515.30x = 114,037,557.09
  5. Step 5: Solve for x
    x = 114,037,557.09/10,515.30
  6. Step 6: Final answer
    x = 10,844.92

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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.