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Finding the Fourth Proportional to 7,624.84, 10,523.25 and 4,267.84

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Solution

The fourth proportional to 7,624.84, 10,523.25 and 4,267.84 is: 5,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.84 : 10,523.25 = 4,267.84 : x
  2. Step 2: Convert to fraction form
    7,624.84/10,523.25 = 4,267.84/x
  3. Step 3: Cross multiply
    7,624.84x = 10,523.25 × 4,267.84
  4. Step 4: Simplify right side
    7,624.84x = 44,911,547.28
  5. Step 5: Solve for x
    x = 44,911,547.28/7,624.84
  6. Step 6: Final answer
    x = 5,890.16

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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.