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Finding the Fourth Proportional to 10,010.90, 14,939.55 and 7,807.70

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Solution

The fourth proportional to 10,010.90, 14,939.55 and 7,807.70 is: 11,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.90 : 14,939.55 = 7,807.70 : x
  2. Step 2: Convert to fraction form
    10,010.90/14,939.55 = 7,807.70/x
  3. Step 3: Cross multiply
    10,010.90x = 14,939.55 × 7,807.70
  4. Step 4: Simplify right side
    10,010.90x = 116,643,485.50
  5. Step 5: Solve for x
    x = 116,643,485.50/10,010.90
  6. Step 6: Final answer
    x = 11,651.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.