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Finding the Fourth Proportional to 6,526.86, 9,001.26 and 5,267.51

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Solution

The fourth proportional to 6,526.86, 9,001.26 and 5,267.51 is: 7,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.86 : 9,001.26 = 5,267.51 : x
  2. Step 2: Convert to fraction form
    6,526.86/9,001.26 = 5,267.51/x
  3. Step 3: Cross multiply
    6,526.86x = 9,001.26 × 5,267.51
  4. Step 4: Simplify right side
    6,526.86x = 47,414,215.81
  5. Step 5: Solve for x
    x = 47,414,215.81/6,526.86
  6. Step 6: Final answer
    x = 7,264.48

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