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Finding the Fourth Proportional to 7,031.43, 10,547.01 and 4,074.30

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Solution

The fourth proportional to 7,031.43, 10,547.01 and 4,074.30 is: 6,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.43 : 10,547.01 = 4,074.30 : x
  2. Step 2: Convert to fraction form
    7,031.43/10,547.01 = 4,074.30/x
  3. Step 3: Cross multiply
    7,031.43x = 10,547.01 × 4,074.30
  4. Step 4: Simplify right side
    7,031.43x = 42,971,682.84
  5. Step 5: Solve for x
    x = 42,971,682.84/7,031.43
  6. Step 6: Final answer
    x = 6,111.37

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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.