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Finding the Fourth Proportional to 7,415.66, 11,123.49 and 4,335.50

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Solution

The fourth proportional to 7,415.66, 11,123.49 and 4,335.50 is: 6,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.66 : 11,123.49 = 4,335.50 : x
  2. Step 2: Convert to fraction form
    7,415.66/11,123.49 = 4,335.50/x
  3. Step 3: Cross multiply
    7,415.66x = 11,123.49 × 4,335.50
  4. Step 4: Simplify right side
    7,415.66x = 48,225,890.90
  5. Step 5: Solve for x
    x = 48,225,890.90/7,415.66
  6. Step 6: Final answer
    x = 6,503.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.