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Finding the Fourth Proportional to 10,645.15, 14,692.04 and 6,455.47

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Solution

The fourth proportional to 10,645.15, 14,692.04 and 6,455.47 is: 8,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.15 : 14,692.04 = 6,455.47 : x
  2. Step 2: Convert to fraction form
    10,645.15/14,692.04 = 6,455.47/x
  3. Step 3: Cross multiply
    10,645.15x = 14,692.04 × 6,455.47
  4. Step 4: Simplify right side
    10,645.15x = 94,844,023.46
  5. Step 5: Solve for x
    x = 94,844,023.46/10,645.15
  6. Step 6: Final answer
    x = 8,909.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.