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Finding the Fourth Proportional to 7,164.17, 10,748.59 and 6,006.28

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Solution

The fourth proportional to 7,164.17, 10,748.59 and 6,006.28 is: 9,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.17 : 10,748.59 = 6,006.28 : x
  2. Step 2: Convert to fraction form
    7,164.17/10,748.59 = 6,006.28/x
  3. Step 3: Cross multiply
    7,164.17x = 10,748.59 × 6,006.28
  4. Step 4: Simplify right side
    7,164.17x = 64,559,041.15
  5. Step 5: Solve for x
    x = 64,559,041.15/7,164.17
  6. Step 6: Final answer
    x = 9,011.38

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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.