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Finding the Fourth Proportional to 8,505.65, 12,731.17 and 4,547.01

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Solution

The fourth proportional to 8,505.65, 12,731.17 and 4,547.01 is: 6,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.65 : 12,731.17 = 4,547.01 : x
  2. Step 2: Convert to fraction form
    8,505.65/12,731.17 = 4,547.01/x
  3. Step 3: Cross multiply
    8,505.65x = 12,731.17 × 4,547.01
  4. Step 4: Simplify right side
    8,505.65x = 57,888,715.24
  5. Step 5: Solve for x
    x = 57,888,715.24/8,505.65
  6. Step 6: Final answer
    x = 6,805.92

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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.