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Finding the Fourth Proportional to 7,827.88, 10,807.14 and 6,953.08

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Solution

The fourth proportional to 7,827.88, 10,807.14 and 6,953.08 is: 9,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.88 : 10,807.14 = 6,953.08 : x
  2. Step 2: Convert to fraction form
    7,827.88/10,807.14 = 6,953.08/x
  3. Step 3: Cross multiply
    7,827.88x = 10,807.14 × 6,953.08
  4. Step 4: Simplify right side
    7,827.88x = 75,142,908.99
  5. Step 5: Solve for x
    x = 75,142,908.99/7,827.88
  6. Step 6: Final answer
    x = 9,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.