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Finding the Fourth Proportional to 10,010.80, 14,983.80 and 7,807.60

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Solution

The fourth proportional to 10,010.80, 14,983.80 and 7,807.60 is: 11,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.80 : 14,983.80 = 7,807.60 : x
  2. Step 2: Convert to fraction form
    10,010.80/14,983.80 = 7,807.60/x
  3. Step 3: Cross multiply
    10,010.80x = 14,983.80 × 7,807.60
  4. Step 4: Simplify right side
    10,010.80x = 116,987,516.88
  5. Step 5: Solve for x
    x = 116,987,516.88/10,010.80
  6. Step 6: Final answer
    x = 11,686.13

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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.