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Finding the Fourth Proportional to 10,070.72, 15,106.22 and 3,497.06

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Solution

The fourth proportional to 10,070.72, 15,106.22 and 3,497.06 is: 5,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.72 : 15,106.22 = 3,497.06 : x
  2. Step 2: Convert to fraction form
    10,070.72/15,106.22 = 3,497.06/x
  3. Step 3: Cross multiply
    10,070.72x = 15,106.22 × 3,497.06
  4. Step 4: Simplify right side
    10,070.72x = 52,827,264.70
  5. Step 5: Solve for x
    x = 52,827,264.70/10,070.72
  6. Step 6: Final answer
    x = 5,245.63

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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.