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Finding the Fourth Proportional to 11,007.64, 15,182.08 and 7,421.28

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Solution

The fourth proportional to 11,007.64, 15,182.08 and 7,421.28 is: 10,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.64 : 15,182.08 = 7,421.28 : x
  2. Step 2: Convert to fraction form
    11,007.64/15,182.08 = 7,421.28/x
  3. Step 3: Cross multiply
    11,007.64x = 15,182.08 × 7,421.28
  4. Step 4: Simplify right side
    11,007.64x = 112,670,466.66
  5. Step 5: Solve for x
    x = 112,670,466.66/11,007.64
  6. Step 6: Final answer
    x = 10,235.66

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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.