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Finding the Fourth Proportional to 7,345.71, 11,012.36 and 3,642.93

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Solution

The fourth proportional to 7,345.71, 11,012.36 and 3,642.93 is: 5,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.71 : 11,012.36 = 3,642.93 : x
  2. Step 2: Convert to fraction form
    7,345.71/11,012.36 = 3,642.93/x
  3. Step 3: Cross multiply
    7,345.71x = 11,012.36 × 3,642.93
  4. Step 4: Simplify right side
    7,345.71x = 40,117,238.40
  5. Step 5: Solve for x
    x = 40,117,238.40/7,345.71
  6. Step 6: Final answer
    x = 5,461.32

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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.