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Finding the Fourth Proportional to 7,978.64, 11,010.53 and 4,441.97

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Solution

The fourth proportional to 7,978.64, 11,010.53 and 4,441.97 is: 6,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.64 : 11,010.53 = 4,441.97 : x
  2. Step 2: Convert to fraction form
    7,978.64/11,010.53 = 4,441.97/x
  3. Step 3: Cross multiply
    7,978.64x = 11,010.53 × 4,441.97
  4. Step 4: Simplify right side
    7,978.64x = 48,908,482.58
  5. Step 5: Solve for x
    x = 48,908,482.58/7,978.64
  6. Step 6: Final answer
    x = 6,129.93

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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.