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Finding the Fourth Proportional to 7,365.18, 11,051.12 and 6,742.29

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Solution

The fourth proportional to 7,365.18, 11,051.12 and 6,742.29 is: 10,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.18 : 11,051.12 = 6,742.29 : x
  2. Step 2: Convert to fraction form
    7,365.18/11,051.12 = 6,742.29/x
  3. Step 3: Cross multiply
    7,365.18x = 11,051.12 × 6,742.29
  4. Step 4: Simplify right side
    7,365.18x = 74,509,855.86
  5. Step 5: Solve for x
    x = 74,509,855.86/7,365.18
  6. Step 6: Final answer
    x = 10,116.50

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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.