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Finding the Fourth Proportional to 7,064.71, 10,598.24 and 2,385.16

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Solution

The fourth proportional to 7,064.71, 10,598.24 and 2,385.16 is: 3,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.71 : 10,598.24 = 2,385.16 : x
  2. Step 2: Convert to fraction form
    7,064.71/10,598.24 = 2,385.16/x
  3. Step 3: Cross multiply
    7,064.71x = 10,598.24 × 2,385.16
  4. Step 4: Simplify right side
    7,064.71x = 25,278,486.19
  5. Step 5: Solve for x
    x = 25,278,486.19/7,064.71
  6. Step 6: Final answer
    x = 3,578.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.