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Finding the Fourth Proportional to 11,526.84, 15,907.74 and 6,491.28

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Solution

The fourth proportional to 11,526.84, 15,907.74 and 6,491.28 is: 8,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.84 : 15,907.74 = 6,491.28 : x
  2. Step 2: Convert to fraction form
    11,526.84/15,907.74 = 6,491.28/x
  3. Step 3: Cross multiply
    11,526.84x = 15,907.74 × 6,491.28
  4. Step 4: Simplify right side
    11,526.84x = 103,261,594.51
  5. Step 5: Solve for x
    x = 103,261,594.51/11,526.84
  6. Step 6: Final answer
    x = 8,958.36

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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.