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Finding the Fourth Proportional to 10,539.65, 14,551.50 and 6,764.45

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Solution

The fourth proportional to 10,539.65, 14,551.50 and 6,764.45 is: 9,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.65 : 14,551.50 = 6,764.45 : x
  2. Step 2: Convert to fraction form
    10,539.65/14,551.50 = 6,764.45/x
  3. Step 3: Cross multiply
    10,539.65x = 14,551.50 × 6,764.45
  4. Step 4: Simplify right side
    10,539.65x = 98,432,894.18
  5. Step 5: Solve for x
    x = 98,432,894.18/10,539.65
  6. Step 6: Final answer
    x = 9,339.29

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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.