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Finding the Fourth Proportional to 10,837.40, 14,967.95 and 7,294.46

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Solution

The fourth proportional to 10,837.40, 14,967.95 and 7,294.46 is: 10,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.40 : 14,967.95 = 7,294.46 : x
  2. Step 2: Convert to fraction form
    10,837.40/14,967.95 = 7,294.46/x
  3. Step 3: Cross multiply
    10,837.40x = 14,967.95 × 7,294.46
  4. Step 4: Simplify right side
    10,837.40x = 109,183,001.24
  5. Step 5: Solve for x
    x = 109,183,001.24/10,837.40
  6. Step 6: Final answer
    x = 10,074.65

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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.