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Finding the Fourth Proportional to 7,594, 10,480.80 and 7,261.90

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Solution

The fourth proportional to 7,594, 10,480.80 and 7,261.90 is: 10,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594 : 10,480.80 = 7,261.90 : x
  2. Step 2: Convert to fraction form
    7,594/10,480.80 = 7,261.90/x
  3. Step 3: Cross multiply
    7,594x = 10,480.80 × 7,261.90
  4. Step 4: Simplify right side
    7,594x = 76,110,521.52
  5. Step 5: Solve for x
    x = 76,110,521.52/7,594
  6. Step 6: Final answer
    x = 10,022.45

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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.