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Finding the Fourth Proportional to 10,077.64, 15,117.78 and 3,504.32

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Solution

The fourth proportional to 10,077.64, 15,117.78 and 3,504.32 is: 5,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.64 : 15,117.78 = 3,504.32 : x
  2. Step 2: Convert to fraction form
    10,077.64/15,117.78 = 3,504.32/x
  3. Step 3: Cross multiply
    10,077.64x = 15,117.78 × 3,504.32
  4. Step 4: Simplify right side
    10,077.64x = 52,977,538.81
  5. Step 5: Solve for x
    x = 52,977,538.81/10,077.64
  6. Step 6: Final answer
    x = 5,256.94

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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.