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Finding the Fourth Proportional to 10,610.03, 14,641.85 and 5,830.28

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Solution

The fourth proportional to 10,610.03, 14,641.85 and 5,830.28 is: 8,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.03 : 14,641.85 = 5,830.28 : x
  2. Step 2: Convert to fraction form
    10,610.03/14,641.85 = 5,830.28/x
  3. Step 3: Cross multiply
    10,610.03x = 14,641.85 × 5,830.28
  4. Step 4: Simplify right side
    10,610.03x = 85,366,085.22
  5. Step 5: Solve for x
    x = 85,366,085.22/10,610.03
  6. Step 6: Final answer
    x = 8,045.79

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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.