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Finding the Fourth Proportional to 7,031.70, 10,547.67 and 2,101.41

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Solution

The fourth proportional to 7,031.70, 10,547.67 and 2,101.41 is: 3,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.70 : 10,547.67 = 2,101.41 : x
  2. Step 2: Convert to fraction form
    7,031.70/10,547.67 = 2,101.41/x
  3. Step 3: Cross multiply
    7,031.70x = 10,547.67 × 2,101.41
  4. Step 4: Simplify right side
    7,031.70x = 22,164,979.21
  5. Step 5: Solve for x
    x = 22,164,979.21/7,031.70
  6. Step 6: Final answer
    x = 3,152.15

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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.