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Finding the Fourth Proportional to 11,784.88, 16,257 and 7,307.20

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Solution

The fourth proportional to 11,784.88, 16,257 and 7,307.20 is: 10,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.88 : 16,257 = 7,307.20 : x
  2. Step 2: Convert to fraction form
    11,784.88/16,257 = 7,307.20/x
  3. Step 3: Cross multiply
    11,784.88x = 16,257 × 7,307.20
  4. Step 4: Simplify right side
    11,784.88x = 118,793,150.40
  5. Step 5: Solve for x
    x = 118,793,150.40/11,784.88
  6. Step 6: Final answer
    x = 10,080.13

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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.