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Finding the Fourth Proportional to 7,547.76, 11,305.12 and 5,349.82

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Solution

The fourth proportional to 7,547.76, 11,305.12 and 5,349.82 is: 8,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.76 : 11,305.12 = 5,349.82 : x
  2. Step 2: Convert to fraction form
    7,547.76/11,305.12 = 5,349.82/x
  3. Step 3: Cross multiply
    7,547.76x = 11,305.12 × 5,349.82
  4. Step 4: Simplify right side
    7,547.76x = 60,480,357.08
  5. Step 5: Solve for x
    x = 60,480,357.08/7,547.76
  6. Step 6: Final answer
    x = 8,013.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.