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Finding the Fourth Proportional to 11,480.69, 15,840.88 and 7,507.64

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Solution

The fourth proportional to 11,480.69, 15,840.88 and 7,507.64 is: 10,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.69 : 15,840.88 = 7,507.64 : x
  2. Step 2: Convert to fraction form
    11,480.69/15,840.88 = 7,507.64/x
  3. Step 3: Cross multiply
    11,480.69x = 15,840.88 × 7,507.64
  4. Step 4: Simplify right side
    11,480.69x = 118,927,526.35
  5. Step 5: Solve for x
    x = 118,927,526.35/11,480.69
  6. Step 6: Final answer
    x = 10,358.92

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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.