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Finding the Fourth Proportional to 10,575.96, 14,590.62 and 6,798.48

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Solution

The fourth proportional to 10,575.96, 14,590.62 and 6,798.48 is: 9,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.96 : 14,590.62 = 6,798.48 : x
  2. Step 2: Convert to fraction form
    10,575.96/14,590.62 = 6,798.48/x
  3. Step 3: Cross multiply
    10,575.96x = 14,590.62 × 6,798.48
  4. Step 4: Simplify right side
    10,575.96x = 99,194,038.26
  5. Step 5: Solve for x
    x = 99,194,038.26/10,575.96
  6. Step 6: Final answer
    x = 9,379.20

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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.