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Finding the Fourth Proportional to 7,670.37, 11,497.80 and 2,987.46

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Solution

The fourth proportional to 7,670.37, 11,497.80 and 2,987.46 is: 4,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.37 : 11,497.80 = 2,987.46 : x
  2. Step 2: Convert to fraction form
    7,670.37/11,497.80 = 2,987.46/x
  3. Step 3: Cross multiply
    7,670.37x = 11,497.80 × 2,987.46
  4. Step 4: Simplify right side
    7,670.37x = 34,349,217.59
  5. Step 5: Solve for x
    x = 34,349,217.59/7,670.37
  6. Step 6: Final answer
    x = 4,478.17

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