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Finding the Fourth Proportional to 7,585.41, 10,477.23 and 5,357.22

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Solution

The fourth proportional to 7,585.41, 10,477.23 and 5,357.22 is: 7,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.41 : 10,477.23 = 5,357.22 : x
  2. Step 2: Convert to fraction form
    7,585.41/10,477.23 = 5,357.22/x
  3. Step 3: Cross multiply
    7,585.41x = 10,477.23 × 5,357.22
  4. Step 4: Simplify right side
    7,585.41x = 56,128,826.10
  5. Step 5: Solve for x
    x = 56,128,826.10/7,585.41
  6. Step 6: Final answer
    x = 7,399.58

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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.