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Finding the Fourth Proportional to 7,253.17, 10,006.99 and 4,066

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Solution

The fourth proportional to 7,253.17, 10,006.99 and 4,066 is: 5,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.17 : 10,006.99 = 4,066 : x
  2. Step 2: Convert to fraction form
    7,253.17/10,006.99 = 4,066/x
  3. Step 3: Cross multiply
    7,253.17x = 10,006.99 × 4,066
  4. Step 4: Simplify right side
    7,253.17x = 40,688,421.34
  5. Step 5: Solve for x
    x = 40,688,421.34/7,253.17
  6. Step 6: Final answer
    x = 5,609.74

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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.