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Finding the Fourth Proportional to 7,151.60, 9,869.64 and 4,357.10

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Solution

The fourth proportional to 7,151.60, 9,869.64 and 4,357.10 is: 6,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.60 : 9,869.64 = 4,357.10 : x
  2. Step 2: Convert to fraction form
    7,151.60/9,869.64 = 4,357.10/x
  3. Step 3: Cross multiply
    7,151.60x = 9,869.64 × 4,357.10
  4. Step 4: Simplify right side
    7,151.60x = 43,003,008.44
  5. Step 5: Solve for x
    x = 43,003,008.44/7,151.60
  6. Step 6: Final answer
    x = 6,013.06

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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.