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Finding the Fourth Proportional to 7,642.62, 10,547.82 and 4,498.74

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Solution

The fourth proportional to 7,642.62, 10,547.82 and 4,498.74 is: 6,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.62 : 10,547.82 = 4,498.74 : x
  2. Step 2: Convert to fraction form
    7,642.62/10,547.82 = 4,498.74/x
  3. Step 3: Cross multiply
    7,642.62x = 10,547.82 × 4,498.74
  4. Step 4: Simplify right side
    7,642.62x = 47,451,899.75
  5. Step 5: Solve for x
    x = 47,451,899.75/7,642.62
  6. Step 6: Final answer
    x = 6,208.85

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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.