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Finding the Fourth Proportional to 8,663.04, 12,987.36 and 4,968

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Solution

The fourth proportional to 8,663.04, 12,987.36 and 4,968 is: 7,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.04 : 12,987.36 = 4,968 : x
  2. Step 2: Convert to fraction form
    8,663.04/12,987.36 = 4,968/x
  3. Step 3: Cross multiply
    8,663.04x = 12,987.36 × 4,968
  4. Step 4: Simplify right side
    8,663.04x = 64,521,204.48
  5. Step 5: Solve for x
    x = 64,521,204.48/8,663.04
  6. Step 6: Final answer
    x = 7,447.87

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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.