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Finding the Fourth Proportional to 7,457.40, 11,186.10 and 2,264.76

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Solution

The fourth proportional to 7,457.40, 11,186.10 and 2,264.76 is: 3,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.40 : 11,186.10 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    7,457.40/11,186.10 = 2,264.76/x
  3. Step 3: Cross multiply
    7,457.40x = 11,186.10 × 2,264.76
  4. Step 4: Simplify right side
    7,457.40x = 25,333,831.84
  5. Step 5: Solve for x
    x = 25,333,831.84/7,457.40
  6. Step 6: Final answer
    x = 3,397.14

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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.