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Finding the Fourth Proportional to 10,253.16, 14,142.93 and 6,267.35

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Solution

The fourth proportional to 10,253.16, 14,142.93 and 6,267.35 is: 8,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.16 : 14,142.93 = 6,267.35 : x
  2. Step 2: Convert to fraction form
    10,253.16/14,142.93 = 6,267.35/x
  3. Step 3: Cross multiply
    10,253.16x = 14,142.93 × 6,267.35
  4. Step 4: Simplify right side
    10,253.16x = 88,638,692.34
  5. Step 5: Solve for x
    x = 88,638,692.34/10,253.16
  6. Step 6: Final answer
    x = 8,645.01

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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.