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Finding the Fourth Proportional to 7,468.84, 10,307.46 and 6,224.68

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Solution

The fourth proportional to 7,468.84, 10,307.46 and 6,224.68 is: 8,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.84 : 10,307.46 = 6,224.68 : x
  2. Step 2: Convert to fraction form
    7,468.84/10,307.46 = 6,224.68/x
  3. Step 3: Cross multiply
    7,468.84x = 10,307.46 × 6,224.68
  4. Step 4: Simplify right side
    7,468.84x = 64,160,640.11
  5. Step 5: Solve for x
    x = 64,160,640.11/7,468.84
  6. Step 6: Final answer
    x = 8,590.44

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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.