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Finding the Fourth Proportional to 10,590.98, 14,616.24 and 5,875.27

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Solution

The fourth proportional to 10,590.98, 14,616.24 and 5,875.27 is: 8,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.98 : 14,616.24 = 5,875.27 : x
  2. Step 2: Convert to fraction form
    10,590.98/14,616.24 = 5,875.27/x
  3. Step 3: Cross multiply
    10,590.98x = 14,616.24 × 5,875.27
  4. Step 4: Simplify right side
    10,590.98x = 85,874,319.84
  5. Step 5: Solve for x
    x = 85,874,319.84/10,590.98
  6. Step 6: Final answer
    x = 8,108.25

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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.