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Finding the Fourth Proportional to 7,904.64, 10,909.65 and 4,760.82

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Solution

The fourth proportional to 7,904.64, 10,909.65 and 4,760.82 is: 6,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.64 : 10,909.65 = 4,760.82 : x
  2. Step 2: Convert to fraction form
    7,904.64/10,909.65 = 4,760.82/x
  3. Step 3: Cross multiply
    7,904.64x = 10,909.65 × 4,760.82
  4. Step 4: Simplify right side
    7,904.64x = 51,938,879.91
  5. Step 5: Solve for x
    x = 51,938,879.91/7,904.64
  6. Step 6: Final answer
    x = 6,570.68

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