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Finding the Fourth Proportional to 10,807.78, 14,916 and 7,449.52

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Solution

The fourth proportional to 10,807.78, 14,916 and 7,449.52 is: 10,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.78 : 14,916 = 7,449.52 : x
  2. Step 2: Convert to fraction form
    10,807.78/14,916 = 7,449.52/x
  3. Step 3: Cross multiply
    10,807.78x = 14,916 × 7,449.52
  4. Step 4: Simplify right side
    10,807.78x = 111,117,040.32
  5. Step 5: Solve for x
    x = 111,117,040.32/10,807.78
  6. Step 6: Final answer
    x = 10,281.21

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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.