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Finding the Fourth Proportional to 10,007.80, 15,011.70 and 2,612.50

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Solution

The fourth proportional to 10,007.80, 15,011.70 and 2,612.50 is: 3,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.80 : 15,011.70 = 2,612.50 : x
  2. Step 2: Convert to fraction form
    10,007.80/15,011.70 = 2,612.50/x
  3. Step 3: Cross multiply
    10,007.80x = 15,011.70 × 2,612.50
  4. Step 4: Simplify right side
    10,007.80x = 39,218,066.25
  5. Step 5: Solve for x
    x = 39,218,066.25/10,007.80
  6. Step 6: Final answer
    x = 3,918.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.