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Finding the Fourth Proportional to 11,833.12, 16,329.76 and 6,528

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Solution

The fourth proportional to 11,833.12, 16,329.76 and 6,528 is: 9,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.12 : 16,329.76 = 6,528 : x
  2. Step 2: Convert to fraction form
    11,833.12/16,329.76 = 6,528/x
  3. Step 3: Cross multiply
    11,833.12x = 16,329.76 × 6,528
  4. Step 4: Simplify right side
    11,833.12x = 106,600,673.28
  5. Step 5: Solve for x
    x = 106,600,673.28/11,833.12
  6. Step 6: Final answer
    x = 9,008.67

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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.