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Finding the Fourth Proportional to 7,031.86, 10,547.80 and 2,873.83

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Solution

The fourth proportional to 7,031.86, 10,547.80 and 2,873.83 is: 4,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.86 : 10,547.80 = 2,873.83 : x
  2. Step 2: Convert to fraction form
    7,031.86/10,547.80 = 2,873.83/x
  3. Step 3: Cross multiply
    7,031.86x = 10,547.80 × 2,873.83
  4. Step 4: Simplify right side
    7,031.86x = 30,312,586.46
  5. Step 5: Solve for x
    x = 30,312,586.46/7,031.86
  6. Step 6: Final answer
    x = 4,310.75

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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.