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Finding the Fourth Proportional to 10,483.76, 14,467.28 and 5,768.01

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Solution

The fourth proportional to 10,483.76, 14,467.28 and 5,768.01 is: 7,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.76 : 14,467.28 = 5,768.01 : x
  2. Step 2: Convert to fraction form
    10,483.76/14,467.28 = 5,768.01/x
  3. Step 3: Cross multiply
    10,483.76x = 14,467.28 × 5,768.01
  4. Step 4: Simplify right side
    10,483.76x = 83,447,386.87
  5. Step 5: Solve for x
    x = 83,447,386.87/10,483.76
  6. Step 6: Final answer
    x = 7,959.68

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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.