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Finding the Fourth Proportional to 7,044.17, 9,715.52 and 4,919.00

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Solution

The fourth proportional to 7,044.17, 9,715.52 and 4,919.00 is: 6,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.17 : 9,715.52 = 4,919.00 : x
  2. Step 2: Convert to fraction form
    7,044.17/9,715.52 = 4,919.00/x
  3. Step 3: Cross multiply
    7,044.17x = 9,715.52 × 4,919.00
  4. Step 4: Simplify right side
    7,044.17x = 47,790,569.71
  5. Step 5: Solve for x
    x = 47,790,569.71/7,044.17
  6. Step 6: Final answer
    x = 6,784.42

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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.