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Finding the Fourth Proportional to 10,068.84, 15,103.02 and 3,143.16

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Solution

The fourth proportional to 10,068.84, 15,103.02 and 3,143.16 is: 4,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.84 : 15,103.02 = 3,143.16 : x
  2. Step 2: Convert to fraction form
    10,068.84/15,103.02 = 3,143.16/x
  3. Step 3: Cross multiply
    10,068.84x = 15,103.02 × 3,143.16
  4. Step 4: Simplify right side
    10,068.84x = 47,471,208.34
  5. Step 5: Solve for x
    x = 47,471,208.34/10,068.84
  6. Step 6: Final answer
    x = 4,714.67

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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.