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Finding the Fourth Proportional to 11,314.64, 15,618.48 and 6,599

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Solution

The fourth proportional to 11,314.64, 15,618.48 and 6,599 is: 9,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.64 : 15,618.48 = 6,599 : x
  2. Step 2: Convert to fraction form
    11,314.64/15,618.48 = 6,599/x
  3. Step 3: Cross multiply
    11,314.64x = 15,618.48 × 6,599
  4. Step 4: Simplify right side
    11,314.64x = 103,066,349.52
  5. Step 5: Solve for x
    x = 103,066,349.52/11,314.64
  6. Step 6: Final answer
    x = 9,109.11

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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.