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Finding the Fourth Proportional to 7,457.76, 10,291.70 and 4,314.14

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Solution

The fourth proportional to 7,457.76, 10,291.70 and 4,314.14 is: 5,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.76 : 10,291.70 = 4,314.14 : x
  2. Step 2: Convert to fraction form
    7,457.76/10,291.70 = 4,314.14/x
  3. Step 3: Cross multiply
    7,457.76x = 10,291.70 × 4,314.14
  4. Step 4: Simplify right side
    7,457.76x = 44,399,834.64
  5. Step 5: Solve for x
    x = 44,399,834.64/7,457.76
  6. Step 6: Final answer
    x = 5,953.51

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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.