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Finding the Fourth Proportional to 10,792.86, 14,886.86 and 6,810.62

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Solution

The fourth proportional to 10,792.86, 14,886.86 and 6,810.62 is: 9,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.86 : 14,886.86 = 6,810.62 : x
  2. Step 2: Convert to fraction form
    10,792.86/14,886.86 = 6,810.62/x
  3. Step 3: Cross multiply
    10,792.86x = 14,886.86 × 6,810.62
  4. Step 4: Simplify right side
    10,792.86x = 101,388,746.45
  5. Step 5: Solve for x
    x = 101,388,746.45/10,792.86
  6. Step 6: Final answer
    x = 9,394.06

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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.