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Finding the Fourth Proportional to 10,860.32, 14,978.30 and 9,129.08

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Solution

The fourth proportional to 10,860.32, 14,978.30 and 9,129.08 is: 12,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.32 : 14,978.30 = 9,129.08 : x
  2. Step 2: Convert to fraction form
    10,860.32/14,978.30 = 9,129.08/x
  3. Step 3: Cross multiply
    10,860.32x = 14,978.30 × 9,129.08
  4. Step 4: Simplify right side
    10,860.32x = 136,738,098.96
  5. Step 5: Solve for x
    x = 136,738,098.96/10,860.32
  6. Step 6: Final answer
    x = 12,590.61

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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.