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Finding the Fourth Proportional to 7,497.81, 10,339.32 and 4,513.05

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Solution

The fourth proportional to 7,497.81, 10,339.32 and 4,513.05 is: 6,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.81 : 10,339.32 = 4,513.05 : x
  2. Step 2: Convert to fraction form
    7,497.81/10,339.32 = 4,513.05/x
  3. Step 3: Cross multiply
    7,497.81x = 10,339.32 × 4,513.05
  4. Step 4: Simplify right side
    7,497.81x = 46,661,868.13
  5. Step 5: Solve for x
    x = 46,661,868.13/7,497.81
  6. Step 6: Final answer
    x = 6,223.40

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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.