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Finding the Fourth Proportional to 10,333.63, 14,235.10 and 7,492.65

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Solution

The fourth proportional to 10,333.63, 14,235.10 and 7,492.65 is: 10,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.63 : 14,235.10 = 7,492.65 : x
  2. Step 2: Convert to fraction form
    10,333.63/14,235.10 = 7,492.65/x
  3. Step 3: Cross multiply
    10,333.63x = 14,235.10 × 7,492.65
  4. Step 4: Simplify right side
    10,333.63x = 106,658,656.66
  5. Step 5: Solve for x
    x = 106,658,656.66/10,333.63
  6. Step 6: Final answer
    x = 10,321.51

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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.