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Finding the Fourth Proportional to 7,798.65, 10,762.15 and 4,261.86

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Solution

The fourth proportional to 7,798.65, 10,762.15 and 4,261.86 is: 5,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.65 : 10,762.15 = 4,261.86 : x
  2. Step 2: Convert to fraction form
    7,798.65/10,762.15 = 4,261.86/x
  3. Step 3: Cross multiply
    7,798.65x = 10,762.15 × 4,261.86
  4. Step 4: Simplify right side
    7,798.65x = 45,866,807.70
  5. Step 5: Solve for x
    x = 45,866,807.70/7,798.65
  6. Step 6: Final answer
    x = 5,881.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.