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Finding the Fourth Proportional to 6,415.32, 8,853.66 and 5,099.88

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Solution

The fourth proportional to 6,415.32, 8,853.66 and 5,099.88 is: 7,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.32 : 8,853.66 = 5,099.88 : x
  2. Step 2: Convert to fraction form
    6,415.32/8,853.66 = 5,099.88/x
  3. Step 3: Cross multiply
    6,415.32x = 8,853.66 × 5,099.88
  4. Step 4: Simplify right side
    6,415.32x = 45,152,603.56
  5. Step 5: Solve for x
    x = 45,152,603.56/6,415.32
  6. Step 6: Final answer
    x = 7,038.25

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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.