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Finding the Fourth Proportional to 11,038.24, 16,557 and 4,798.26

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Solution

The fourth proportional to 11,038.24, 16,557 and 4,798.26 is: 7,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.24 : 16,557 = 4,798.26 : x
  2. Step 2: Convert to fraction form
    11,038.24/16,557 = 4,798.26/x
  3. Step 3: Cross multiply
    11,038.24x = 16,557 × 4,798.26
  4. Step 4: Simplify right side
    11,038.24x = 79,444,790.82
  5. Step 5: Solve for x
    x = 79,444,790.82/11,038.24
  6. Step 6: Final answer
    x = 7,197.23

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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.