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Finding the Fourth Proportional to 10,043, 15,064.86 and 3,117.32

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Solution

The fourth proportional to 10,043, 15,064.86 and 3,117.32 is: 4,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043 : 15,064.86 = 3,117.32 : x
  2. Step 2: Convert to fraction form
    10,043/15,064.86 = 3,117.32/x
  3. Step 3: Cross multiply
    10,043x = 15,064.86 × 3,117.32
  4. Step 4: Simplify right side
    10,043x = 46,961,989.38
  5. Step 5: Solve for x
    x = 46,961,989.38/10,043
  6. Step 6: Final answer
    x = 4,676.09

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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.