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Finding the Fourth Proportional to 10,483.92, 15,712.92 and 5,291.28

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Solution

The fourth proportional to 10,483.92, 15,712.92 and 5,291.28 is: 7,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.92 : 15,712.92 = 5,291.28 : x
  2. Step 2: Convert to fraction form
    10,483.92/15,712.92 = 5,291.28/x
  3. Step 3: Cross multiply
    10,483.92x = 15,712.92 × 5,291.28
  4. Step 4: Simplify right side
    10,483.92x = 83,141,459.34
  5. Step 5: Solve for x
    x = 83,141,459.34/10,483.92
  6. Step 6: Final answer
    x = 7,930.38

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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.