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Finding the Fourth Proportional to 7,031.46, 10,547.94 and 1,837.38

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Solution

The fourth proportional to 7,031.46, 10,547.94 and 1,837.38 is: 2,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.46 : 10,547.94 = 1,837.38 : x
  2. Step 2: Convert to fraction form
    7,031.46/10,547.94 = 1,837.38/x
  3. Step 3: Cross multiply
    7,031.46x = 10,547.94 × 1,837.38
  4. Step 4: Simplify right side
    7,031.46x = 19,380,574.00
  5. Step 5: Solve for x
    x = 19,380,574.00/7,031.46
  6. Step 6: Final answer
    x = 2,756.27

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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.