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Finding the Fourth Proportional to 7,457.52, 11,186.62 and 5,276

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Solution

The fourth proportional to 7,457.52, 11,186.62 and 5,276 is: 7,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.52 : 11,186.62 = 5,276 : x
  2. Step 2: Convert to fraction form
    7,457.52/11,186.62 = 5,276/x
  3. Step 3: Cross multiply
    7,457.52x = 11,186.62 × 5,276
  4. Step 4: Simplify right side
    7,457.52x = 59,020,607.12
  5. Step 5: Solve for x
    x = 59,020,607.12/7,457.52
  6. Step 6: Final answer
    x = 7,914.24

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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.