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Finding the Fourth Proportional to 7,253.50, 10,011.64 and 4,457.38

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Solution

The fourth proportional to 7,253.50, 10,011.64 and 4,457.38 is: 6,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.50 : 10,011.64 = 4,457.38 : x
  2. Step 2: Convert to fraction form
    7,253.50/10,011.64 = 4,457.38/x
  3. Step 3: Cross multiply
    7,253.50x = 10,011.64 × 4,457.38
  4. Step 4: Simplify right side
    7,253.50x = 44,625,683.90
  5. Step 5: Solve for x
    x = 44,625,683.90/7,253.50
  6. Step 6: Final answer
    x = 6,152.30

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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.