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Finding the Fourth Proportional to 7,038.08, 9,692.83 and 5,848.39

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Solution

The fourth proportional to 7,038.08, 9,692.83 and 5,848.39 is: 8,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.08 : 9,692.83 = 5,848.39 : x
  2. Step 2: Convert to fraction form
    7,038.08/9,692.83 = 5,848.39/x
  3. Step 3: Cross multiply
    7,038.08x = 9,692.83 × 5,848.39
  4. Step 4: Simplify right side
    7,038.08x = 56,687,420.80
  5. Step 5: Solve for x
    x = 56,687,420.80/7,038.08
  6. Step 6: Final answer
    x = 8,054.39

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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.