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Finding the Fourth Proportional to 6,707.16, 10,061.55 and 2,547

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Solution

The fourth proportional to 6,707.16, 10,061.55 and 2,547 is: 3,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.16 : 10,061.55 = 2,547 : x
  2. Step 2: Convert to fraction form
    6,707.16/10,061.55 = 2,547/x
  3. Step 3: Cross multiply
    6,707.16x = 10,061.55 × 2,547
  4. Step 4: Simplify right side
    6,707.16x = 25,626,767.85
  5. Step 5: Solve for x
    x = 25,626,767.85/6,707.16
  6. Step 6: Final answer
    x = 3,820.81

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