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Finding the Fourth Proportional to 8,973.70, 12,376.74 and 7,966.47

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Solution

The fourth proportional to 8,973.70, 12,376.74 and 7,966.47 is: 10,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.70 : 12,376.74 = 7,966.47 : x
  2. Step 2: Convert to fraction form
    8,973.70/12,376.74 = 7,966.47/x
  3. Step 3: Cross multiply
    8,973.70x = 12,376.74 × 7,966.47
  4. Step 4: Simplify right side
    8,973.70x = 98,598,927.91
  5. Step 5: Solve for x
    x = 98,598,927.91/8,973.70
  6. Step 6: Final answer
    x = 10,987.54

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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.