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Finding the Fourth Proportional to 10,985.76, 15,155.10 and 7,207.38

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Solution

The fourth proportional to 10,985.76, 15,155.10 and 7,207.38 is: 9,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.76 : 15,155.10 = 7,207.38 : x
  2. Step 2: Convert to fraction form
    10,985.76/15,155.10 = 7,207.38/x
  3. Step 3: Cross multiply
    10,985.76x = 15,155.10 × 7,207.38
  4. Step 4: Simplify right side
    10,985.76x = 109,228,564.64
  5. Step 5: Solve for x
    x = 109,228,564.64/10,985.76
  6. Step 6: Final answer
    x = 9,942.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.