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Finding the Fourth Proportional to 7,495.83, 11,242.62 and 4,714.02

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Solution

The fourth proportional to 7,495.83, 11,242.62 and 4,714.02 is: 7,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.83 : 11,242.62 = 4,714.02 : x
  2. Step 2: Convert to fraction form
    7,495.83/11,242.62 = 4,714.02/x
  3. Step 3: Cross multiply
    7,495.83x = 11,242.62 × 4,714.02
  4. Step 4: Simplify right side
    7,495.83x = 52,997,935.53
  5. Step 5: Solve for x
    x = 52,997,935.53/7,495.83
  6. Step 6: Final answer
    x = 7,070.32

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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.