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Finding the Fourth Proportional to 10,029.84, 15,030.39 and 5,638.08

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Solution

The fourth proportional to 10,029.84, 15,030.39 and 5,638.08 is: 8,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.84 : 15,030.39 = 5,638.08 : x
  2. Step 2: Convert to fraction form
    10,029.84/15,030.39 = 5,638.08/x
  3. Step 3: Cross multiply
    10,029.84x = 15,030.39 × 5,638.08
  4. Step 4: Simplify right side
    10,029.84x = 84,742,541.25
  5. Step 5: Solve for x
    x = 84,742,541.25/10,029.84
  6. Step 6: Final answer
    x = 8,449.04

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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.