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Finding the Fourth Proportional to 11,342.84, 15,653.64 and 6,307.14

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Solution

The fourth proportional to 11,342.84, 15,653.64 and 6,307.14 is: 8,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.84 : 15,653.64 = 6,307.14 : x
  2. Step 2: Convert to fraction form
    11,342.84/15,653.64 = 6,307.14/x
  3. Step 3: Cross multiply
    11,342.84x = 15,653.64 × 6,307.14
  4. Step 4: Simplify right side
    11,342.84x = 98,729,698.99
  5. Step 5: Solve for x
    x = 98,729,698.99/11,342.84
  6. Step 6: Final answer
    x = 8,704.14

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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.