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Finding the Fourth Proportional to 10,451.52, 15,665.76 and 4,968

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Solution

The fourth proportional to 10,451.52, 15,665.76 and 4,968 is: 7,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.52 : 15,665.76 = 4,968 : x
  2. Step 2: Convert to fraction form
    10,451.52/15,665.76 = 4,968/x
  3. Step 3: Cross multiply
    10,451.52x = 15,665.76 × 4,968
  4. Step 4: Simplify right side
    10,451.52x = 77,827,495.68
  5. Step 5: Solve for x
    x = 77,827,495.68/10,451.52
  6. Step 6: Final answer
    x = 7,446.52

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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.