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Finding the Fourth Proportional to 10,070, 15,090.40 and 5,678.12

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Solution

The fourth proportional to 10,070, 15,090.40 and 5,678.12 is: 8,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070 : 15,090.40 = 5,678.12 : x
  2. Step 2: Convert to fraction form
    10,070/15,090.40 = 5,678.12/x
  3. Step 3: Cross multiply
    10,070x = 15,090.40 × 5,678.12
  4. Step 4: Simplify right side
    10,070x = 85,685,102.05
  5. Step 5: Solve for x
    x = 85,685,102.05/10,070
  6. Step 6: Final answer
    x = 8,508.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.