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Finding the Fourth Proportional to 7,053.18, 9,719.19 and 5,271.90

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Solution

The fourth proportional to 7,053.18, 9,719.19 and 5,271.90 is: 7,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.18 : 9,719.19 = 5,271.90 : x
  2. Step 2: Convert to fraction form
    7,053.18/9,719.19 = 5,271.90/x
  3. Step 3: Cross multiply
    7,053.18x = 9,719.19 × 5,271.90
  4. Step 4: Simplify right side
    7,053.18x = 51,238,597.76
  5. Step 5: Solve for x
    x = 51,238,597.76/7,053.18
  6. Step 6: Final answer
    x = 7,264.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.