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Finding the Fourth Proportional to 7,444.99, 10,274.11 and 4,088.14

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Solution

The fourth proportional to 7,444.99, 10,274.11 and 4,088.14 is: 5,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.99 : 10,274.11 = 4,088.14 : x
  2. Step 2: Convert to fraction form
    7,444.99/10,274.11 = 4,088.14/x
  3. Step 3: Cross multiply
    7,444.99x = 10,274.11 × 4,088.14
  4. Step 4: Simplify right side
    7,444.99x = 42,001,979.61
  5. Step 5: Solve for x
    x = 42,001,979.61/7,444.99
  6. Step 6: Final answer
    x = 5,641.65

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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.