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Finding the Fourth Proportional to 8,487.32, 11,710.64 and 5,130.07

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Solution

The fourth proportional to 8,487.32, 11,710.64 and 5,130.07 is: 7,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.32 : 11,710.64 = 5,130.07 : x
  2. Step 2: Convert to fraction form
    8,487.32/11,710.64 = 5,130.07/x
  3. Step 3: Cross multiply
    8,487.32x = 11,710.64 × 5,130.07
  4. Step 4: Simplify right side
    8,487.32x = 60,076,386.49
  5. Step 5: Solve for x
    x = 60,076,386.49/8,487.32
  6. Step 6: Final answer
    x = 7,078.37

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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.