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Finding the Fourth Proportional to 10,407.78, 14,368.68 and 6,881.22

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Solution

The fourth proportional to 10,407.78, 14,368.68 and 6,881.22 is: 9,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.78 : 14,368.68 = 6,881.22 : x
  2. Step 2: Convert to fraction form
    10,407.78/14,368.68 = 6,881.22/x
  3. Step 3: Cross multiply
    10,407.78x = 14,368.68 × 6,881.22
  4. Step 4: Simplify right side
    10,407.78x = 98,874,048.19
  5. Step 5: Solve for x
    x = 98,874,048.19/10,407.78
  6. Step 6: Final answer
    x = 9,500.01

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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.