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Finding the Fourth Proportional to 7,148.07, 10,722.31 and 6,101.47

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Solution

The fourth proportional to 7,148.07, 10,722.31 and 6,101.47 is: 9,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.07 : 10,722.31 = 6,101.47 : x
  2. Step 2: Convert to fraction form
    7,148.07/10,722.31 = 6,101.47/x
  3. Step 3: Cross multiply
    7,148.07x = 10,722.31 × 6,101.47
  4. Step 4: Simplify right side
    7,148.07x = 65,421,852.80
  5. Step 5: Solve for x
    x = 65,421,852.80/7,148.07
  6. Step 6: Final answer
    x = 9,152.38

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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.